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Tytuł:
Stability state evaluation of composite three-layered annular plates with asymmetrical damage
Autorzy:
Pawlus, Dorota
Powiązania:
https://bibliotekanauki.pl/articles/140176.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
composite annular plate
composite degradation
stability state
kompozytowa płyta pierścieniowa
degradacja kompozytu
stan stabilności
Opis:
The paper presents the response of a three-layered annular plate with damaged laminated facings to the loads acting in their planes. The presented problem concerns the analysis of the combination of global plate failure in the form of buckling with the local micro defects, like fibre or matrix cracks, located in the laminas. The plate structure consists of thin laminated, fibre-reinforced composite facings and a thicker foam core. The matrix and fibre cracks of facings laminas can be transversally symmetrically or asymmetrically located in plate structure. Critical static and dynamic stability analyses were carried out solving the problem numerically and analytically. The numerical results show the static and dynamic stability state of the composite plate with different combinations of damages. The final results are compared with those for undamaged structure of the plate and treated as quasi-isotropic ones. The analysed problem makes it possible to evaluate the use of the non-ideal composite plate structure in practical applications.
Źródło:
Archive of Mechanical Engineering; 2019, LXVI, 1; 39-58
0004-0738
Pojawia się w:
Archive of Mechanical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Input-to-state stability of neutral type systems
Autorzy:
Gil', Michael
Powiązania:
https://bibliotekanauki.pl/articles/729296.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
neutral type systems
causal mappings
input-to-state stability
Opis:
We consider the system
$ẋ(t) - ∫₀^{η} dR̃(τ) ẋ(t-τ) = ∫_0^{η} dR(τ)x(t-τ) + [Fx](t) + u(t)$
(ẋ(t) ≡ dx(t)/dt), where x(t) is the state, u(t) is the input, R(τ),R̃(τ) are matrix-valued functions, and F is a causal (Volterra) mapping. Such equations enable us to consider various classes of systems from the unified point of view. Explicit input-to-state stability conditions in terms of the L²-norm are derived. Our main tool is the norm estimates for the matrix resolvents, as well as estimates for fundamental solutions of the linear parts of the considered systems, and the Ostrowski inequality for determinants.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2013, 33, 1; 5-16
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of integrodifferential control system with pulse-width modulated sampler on Banach spaces
Autorzy:
Wang, J.
Powiązania:
https://bibliotekanauki.pl/articles/255995.pdf
Data publikacji:
2012
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
integrodifferential system
pulse-width modulated sampler
steady-state control
steady-state stability
Opis:
This paper studies steady-state control and stability for a class of integrodifferential control system with pulse-width modulated sampler on Banach spaces. The existence and stability of the steady-state for the integrodifferential control system with pulse-width modulated sampler are given. An example is given to illustrate the theory.
Źródło:
Opuscula Mathematica; 2012, 32, 1; 179-197
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Delay differential equations: theory and applications
Autorzy:
Bodnar, Marek
Piotrowska, Monika Joanna
Powiązania:
https://bibliotekanauki.pl/articles/748670.pdf
Data publikacji:
2010
Wydawca:
Polskie Towarzystwo Matematyczne
Tematy:
delay differential equations, uniqueness of solutions, stability of s steady state, Hopf bifurcation, mathematical models
Opis:
 Równania różniczkowe z opóźnionym argumentem pojawiają się w modelach matematycznych dotyczących zagadnień biologicznych, biochemicznych czy medycznych. Chociaż sama struktura równań jest podobna do równań różniczkowych zwyczajnych, to jednak istnieje zasadnicza różnica: równanie czy układ równań z opóźnieniem jest problemem nieskończeniewymiarowym z odpowiadającą mu przestrzenią fazową będącą przestrzenią funkcyjną — zwykle rozważamy przestrzeń funkcji ciągłych. W tej pracy przestawiamy podstawową teorię dotyczącą tej klasy równań, jak również kilka przykładów zastosowań równań z opóźnieniem do opisu zagadnień biologicznych, medycznych i biochemicznych.Słowa kluczowe: równania różniczkowe z opóźnieniem, jednoznaczność rozwiązań, stabilność stanu stacjonarnego, bifurkacja Hopfa, modele matematyczne
Delay differential equations are used in mathematical models of biological, biochemical or medical phenomenons. Although the structure of these equations is similar to ordinary differential equations, the crucial difference is that a delay differential equation (or a system of equations) is an infinite dimensional problem and the corresponding phase space is a functional space — usually the space of continuous functions is considered.In this paper we present the basic theory of delay differential equations as well as some example of applications to models of biological, medical and biochemical systems.
Źródło:
Mathematica Applicanda; 2010, 38, 1
1730-2668
2299-4009
Pojawia się w:
Mathematica Applicanda
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of continuous-discrete linear systems with delays in state vector
Autorzy:
Kaczorek, T.
Sajewski, Ł.
Powiązania:
https://bibliotekanauki.pl/articles/229444.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
stability
positivity
continuous-discrete
delays
state vector
Opis:
A new class of positive continuous-discrete linear systems with delays in state vector described by the model based on 2D general model is addressed. Necessary and sufficient conditions for the positivity and asymptotic stability of this class of linear systems are established. A procedure for checking the asymptotic stability is proposed. The effectiveness of the procedure is demonstrated on a numerical example.
Źródło:
Archives of Control Sciences; 2011, 21, 1; 25-36
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Positive and stable electrical circuits with state-feedbacks
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/141572.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
positivity
stability
linear
electrical circuit
state-feedback
Opis:
The analysis of the positivity and stability of linear electrical circuits by the use of state-feedbacks is addressed. Generalized Frobenius matrices are proposed and their properties are investigated. It is shown that if the state matrix of an electrical circuit has generalized Frobenius form then the closed-loop system matrix is not positive and asymptotically stable. Different cases of modification of the positivity and stability of linear electrical circuits by state-feedbacks are discussed and necessary conditions for the existence of solutions to the problem are established.
Źródło:
Archives of Electrical Engineering; 2018, 67, 3; 563--578
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of the positivity and stability of linear electrical circuits with state-feedbacks
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/377717.pdf
Data publikacji:
2018
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
positivity
stability
linear
electrical circuit
state-feedback
Opis:
The analysis of the positivity and stability of linear electrical circuits by the use of state-feedbacks is addressed. Generalized Frobenius matrices are proposed and their properties are investigated. It is shown that if the state matrix of electrical circuit has generalized Frobenius form then the closed-loop system matrix is not positive and asymptotically stable. Different cases of modification of the positivity and stability of linear electrical circuits by state-feedbacks are discussed and necessary conditions for the existence of solutions to the problem are established.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2018, 93; 21-36
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of positive linear systems by decomposition of the state matrices into symmetrical and antisymmetrical parts
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/201771.pdf
Data publikacji:
2019
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear
positive
system
decomposition
state matrix
stability
Opis:
The stability of positive linear continuous-time and discrete-time systems is analyzed by the use of the decomposition of the state matrices into symmetrical and antisymmetrical parts. It is shown that: 1) The state Metzler matrix of positive continuous-time linear system is Hurwitz if and only if its symmetrical part is Hurwitz; 2) The state matrix of positive linear discrete-time system is Schur if and only if its symmetrical part is Hurwitz. These results are extended to inverse matrices of the state matrices of the positive linear systems.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 4; 761-768
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
New fault tolerant control strategies for nonlinear Takagi-Sugeno systems
Autorzy:
Ichalal, D.
Marx, B.
Ragot, J.
Maquin, D.
Powiązania:
https://bibliotekanauki.pl/articles/331456.pdf
Data publikacji:
2012
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
model Takagi-Sugeno
sterowanie tolerujące uszkodzenia
uszkodzenie równoczesne
estymacja stanu
twierdzenie Lapunowa
Takagi-Sugeno model
fault tolerant control
simultaneous fault
state estimation
Polya's theorem
Lyapunov theory
input to state stability
Opis:
New methodologies for Fault Tolerant Control (FTC) are proposed in order to compensate actuator faults in nonlinear systems. These approaches are based on the representation of the nonlinear system by a Takagi-Sugeno model. Two control laws are proposed requiring simultaneous estimation of the system states and of the occurring actuator faults. The first approach concerns the stabilization problem in the presence of actuator faults. In the second, the system state is forced to track a reference trajectory even in faulty situation. The control performance depends on the estimation quality; indeed, it is important to accurately and rapidly estimate the states and the faults. This task is then performed with an Adaptive Fast State and Fault Observer (AFSFO) for the first case, and a Proportional-Integral Observer (PIO) in the second. Stability conditions are established with Lyapunov theory and expressed in a Linear Matrix Inequality (LMI) formulation to ease the design of FTC. Furthermore, relaxed stability conditions are given with the use of Polya's theorem. Some simulation examples are given in order to illustrate the proposed approaches.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2012, 22, 1; 197-210
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generalized state space model and small signal stability analysis of Z-source converter
Autorzy:
Kouhanjani, Masoud Jokar
Soltani, Sina
Mardaneh, Mohammad
Powiązania:
https://bibliotekanauki.pl/articles/2202552.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
small signal stability
state space model
Z-source converter
Opis:
This paper proposes two nonlinear exact and simple state space models of a Zsource converter (ZSC) connected to an ac grid. A generic model of a ZSC accompanied with proper controllers are proposed and a dynamic model of the whole system is derived; as a result, based on a simple one, an equivalent block diagram of the current-controlled ZSC system is proposed. The ac small signal stability method is applied and the impact of controller parameters on network’s stability is discussed. Besides, overall system dynamic performance has been assessed in the event of perturbations. Time-domain simulations have been implemented in PSCAD/EMTDC to validate the accuracy of the models and effectiveness of the proposed controllers. The results of the exact model are compared with the response of the equations which are applied in MATLAB.
Źródło:
Archives of Electrical Engineering; 2023, 72, 1; 173--188
1427-4221
2300-2506
Pojawia się w:
Archives of Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A comprehensive constitutive equation for granular materials
Autorzy:
Gudehus, G.
Powiązania:
https://bibliotekanauki.pl/articles/1954568.pdf
Data publikacji:
2000
Wydawca:
Politechnika Gdańska
Tematy:
constitutive equation of soil
critical state
deformation
granular materials
stability analysis
Opis:
constitutive equation is proposed for describing changes of states of granular materials, which are sufficiently characterised by the void ratio and the stress tensor. It may be considered as an extension of the Critical State concept. It is based on recently published hypoplastic equations and covers a wide range of densities, pressures and deformations. A factorial decomposition allows a rather easy separation and determination of material parameters. Two factors depend on a relative void ratio so that it remains within lower and upper bounds. The bounding void ratios decrease monotonously from maximal values to zero with increasing pressure. The same reduction of the void ratio is proposed for an isotropic compression starting from a suspension. Thus a granulate hardness is defined, and a stiffness factor can be determined. Four material parameters can be estimated from classification tests and determined from the asymptotic behaviour in element tests. Four further parameters are determined by calibration; they are rather constant for wide groups of materials. Strength and stiffness values can be derived and used for the analysis of deformations, stability, and flow. The viscous behaviour is modelled by a rate dependent factor with one further parameter. Limitations and possible extensions of this comprehensive approach are also outlined.
Źródło:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk; 2000, 4, 3; 319-342
1428-6394
Pojawia się w:
TASK Quarterly. Scientific Bulletin of Academic Computer Centre in Gdansk
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Principy rekonstrukcii obektov gorodskogo khozjajjstva na osnove metodologii ocenki ustojjchivosti osnovanii
Principles for municipal facilities reconstruction based stability assessment methodology
Autorzy:
Prusov, D.
Badakh, V.
Powiązania:
https://bibliotekanauki.pl/articles/76764.pdf
Data publikacji:
2013
Wydawca:
Komisja Motoryzacji i Energetyki Rolnictwa
Tematy:
stress-strain state
municipal facility reconstruction
stability
foundation soil
strength structure
Opis:
Modeling methodology and determination of soil bases stability has been considered in conjunction with the fencing and buried structures in the transcendental state during the municipal facilities reconstruction in complex engineering-geological conditions to predict the possible consequences.
Źródło:
Motrol. Motoryzacja i Energetyka Rolnictwa; 2013, 15, 5
1730-8658
Pojawia się w:
Motrol. Motoryzacja i Energetyka Rolnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control of dynamic systems using a new adjoining cell mapping method with reinforcement learning
Autorzy:
Arribas-Navarro, T.
Prieto, S.
Plaza, M.
Powiązania:
https://bibliotekanauki.pl/articles/205725.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
cells mapping
state space
reinforcement learning
stability
nonlinear control
controllability
Opis:
This work aims to improve and simplify the procedure used in the Control Adjoining Cell Mapping with Reinforcement Learning (CACM-RL) technique, for the tuning process of an optimal contro ller during the pre-learning stage (controller design), making easier the transition from a simulation environment to the real world. Common problems, encountered when working with CACM-RL, are the adjustment of the cell size and the long-term evolution error. In this sense, the main goal of the new approach, developed for CACM-RL that is proposed in this work (CACMRL*), is to give a response to both problems for helping engineers in defining of the control solution with accuracy and stability criteria instead of cell sizes. The new approach improves the mathematical analysis techniques and reduces the engineering effort during the design phase. In order to demonstrate the behaviour of CACM-RL*, three examples are described to show its application to real problems. In All the examples, CACM-RL* improves with respect to the considered alternatives. In some cases, CACM- RL* improves the average controllability by up to 100%.
Źródło:
Control and Cybernetics; 2015, 44, 3; 369-387
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of continuous-time and discrete-time linear systems
Autorzy:
Kaczorek, T.
Borawski, K.
Powiązania:
https://bibliotekanauki.pl/articles/114496.pdf
Data publikacji:
2016
Wydawca:
Stowarzyszenie Inżynierów i Techników Mechaników Polskich
Tematy:
Frobenius matrix
continuous-time system
discrete-time system
linear
stability
state matrix
Opis:
The inverse Frobenius matrices and the characteristic equations of the inverse systems are investigated. It is shown that the inverse system of continuous-time linear system is asymptotically stable if and only if the standard system is asymptotically stable and the inverse system of discrete-time linear system is asymptotically stable if and only if the standard system is unstable. The considerations are illustrated by numerical examples.
Źródło:
Measurement Automation Monitoring; 2016, 62, 4; 132-135
2450-2855
Pojawia się w:
Measurement Automation Monitoring
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Exponential stability of networked control systems with network-induced random delays
Autorzy:
Krokavec, D.
Filasova, A.
Powiązania:
https://bibliotekanauki.pl/articles/229822.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
networked systems
stability analysis
time-delay systems
linear matrix inequality
state feedback
Opis:
In this paper, the problem of exponential stability for the standard form of the state control, realized in a networked control system structure, is studied. To deal with the problem of stability analysis of the event-time-driven modes in the networked control systems the delayed-dependent exponential stability conditions are reformulated and proven. Based on the delay-time dependent Lyapunov-Krasovskii functional, exponential stability criteria are derived. These criteria are expressed as a set of linear matrix inequalities and their structure can be modified to use the bilinear inequality techniques.
Źródło:
Archives of Control Sciences; 2010, 20, 2; 165-186
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Pairwise control principle in large-scale systems
Autorzy:
Filasova, A.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229965.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
decentralized control
large-scale systems
state feedback
linear matrix inequality
asymptotic stability
Opis:
The purpose of the paper is present an algorithm of partially decentralized control design for one type of large-scale linear dynamical system. The pairwise autonomous principle is preferred where design conditions are derived in the bounded real lemma form, and global system stability is reproven to formulate potential application principle in fault tolerant control. The validity of the proposed method is demonstrated by the numerical example.
Źródło:
Archives of Control Sciences; 2011, 21, 3; 227-242
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamic stability of a model of a tractor-lorry-trailer combination
Autorzy:
Sakno, O.
Moysya, D. L.
Kolesnikova, T.
Powiązania:
https://bibliotekanauki.pl/articles/196523.pdf
Data publikacji:
2018
Wydawca:
Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
Tematy:
dynamic stability
mobility of tractor-lorry-trailer combination
steady-state condition
stabilność dynamiczna
Opis:
In this paper, we consider the mobility and stability of a model of a tractor-lorry-trailer combination, consisting of a two-axle tractor and a single-axle semi-trailer, and its possible stationary states with fixed steering. A feature of this research is the study of a non-linear mathematical model of a two-link tractor-lorry-trailer combination. The set of steady-state conditions for the movement of the tractor-lorry-trailer combination model is determined on the basis of the developed mathematical model; it provides the necessary mobility for the passage of the circular overall traffic lane. The range of stable steady-state conditions of the road train is limited and the character of the loss of stability in the direct motion of the road train (divergent, flutter) is checked. The phase portraits of the system are constructed at different speeds, which allow us to estimate the range of attraction for direct motion. Stability issues are also considered, namely, the influence of the control parameters (θ, v) on stability or instability.
Źródło:
Zeszyty Naukowe. Transport / Politechnika Śląska; 2018, 99; 163-175
0209-3324
2450-1549
Pojawia się w:
Zeszyty Naukowe. Transport / Politechnika Śląska
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
An output sensitivity problem for a class of linear distributed systems with uncertain initial state
Autorzy:
Larrache, Abdelilah
Lhous, Mustapha
Rhila, Soukina Ben
Rachik, Mostafa
Tridane, Abdessamad
Powiązania:
https://bibliotekanauki.pl/articles/229238.pdf
Data publikacji:
2020
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
distributed system
uncertain initial state
gain operators
observability
stability
linear programming
Opis:
In this paper,we consider an infinite dimensional linear systems. It is assumed that the initial state of system is not known throughout all the domain Ω C Rn, the initial state x0 ϵ L2(Ω) is supposed known on one part of the domain Ω and uncertain on the rest. That means Ω = ω1 U ω2 U... U ωt with ωi ∩ ωj = ∅, ∀i ≠ j ϵ {1,...,t}, i ≠ j where ωi ≠ ∅ and x0(θ) = αi for θ ϵ ωi, ∀i, i.e., x0(θ) = [wzór] (θ) where the values α1,...,αr are supposed known and αr+1,...,αt unknown and 1ωi is the indicator function. The uncertain part (α1,...,(α)rof the initial state x0 is said to be (ɛ1,...,ɛr )-admissible if the sensitivity of corresponding output signal (yi)i≥0 relatively to uncertainties (αk)1≤k≤r is less to the treshold ɛk, i.e., ∥∂yi)/(∂αk∥ ≤ ɛk, ∀i≥ 0, ∀k ϵ {1,...,r]. The main goal of this paper is to determine the set of all possible gain operators that makes the system insensitive to all uncertainties. The characterization of this set is investigated and an algorithmic determination of each gain operators is presented. Some examples are given.
Źródło:
Archives of Control Sciences; 2020, 30, 1; 139-155
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Chislovoj metod opredelenija naprjazhenno-deformirovannogo sostojanija i kriticheskikh nagruzok poteri ustojjchivosti arok
Analytical and numerical methods definition stress strain state and critical loads loss of stability of arches
Autorzy:
Shebanin, V.
Bogza, V.
Bogdanov, S.
Hilko, I.
Powiązania:
https://bibliotekanauki.pl/articles/76380.pdf
Data publikacji:
2013
Wydawca:
Komisja Motoryzacji i Energetyki Rolnictwa
Tematy:
configuration
arched structure
stress-strain state
critical load
stability loss
numerical method
analytical method
Opis:
The method of calculating the critical loss of stability loads of arches. The method is that arbitrary configuration arch replaced by the elastically connected elements for which at the given regular loads with appropriate boundary conditions at the ends of exact solutions are found for components of the stress-strain state.
Źródło:
Motrol. Motoryzacja i Energetyka Rolnictwa; 2013, 15, 2
1730-8658
Pojawia się w:
Motrol. Motoryzacja i Energetyka Rolnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A characterization of stability and sensitivity properties for state-constrained optimal control
Autorzy:
Malanowski, K.
Powiązania:
https://bibliotekanauki.pl/articles/970245.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
sterowanie optymalne
optimal control
nonlinear ODEs
state constraints
parametric problems
stability and sensitivity analysis
Opis:
In a series of the recent papers of the author, it was shown that the solutions and Lagrange multipliers of state-constrained optimal control problems are locally Lipschitz continuous and directionally differentiable functions of the parameter, under usual constraint qualifications and weakened second order conditions. In this paper, it is shown that those conditions are not only sufficient, but also necessary. Thus, they consitute a characterization of Lipschitz stability and sensitivity properties for state-constrained optimal control problems.
Źródło:
Control and Cybernetics; 2007, 36, 3; 711-726
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Economic Factors of Risk to National Security
Autorzy:
Głowacki, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/2189130.pdf
Data publikacji:
2022
Wydawca:
Fundacja Instytut Nauki o Polityce
Tematy:
national security
state security
economic security
risk factors
critical processes
sovereignty
economic stability
Polska
Opis:
The article discusses the conceptualisation of fundamental concepts referring to interdependence between security and the economy. The concept of economic security that is dominant in Polish literature on the subject is in most cases identified with macroeconomic disequilibrium and instability. This makes it primarily an economic category. Hence the need to develop a catalogue of risks that are more extensively and comprehensively associated with national security. The article outlines two approaches to these issues. The sectoral approach delineates subcategories of security by industries and sectors of the economy (e.g. energy security). The problem approach singles out individual risk factors understood as mechanisms and phenomena carrying threats to the critical processes in the state. Basing on the problem approach, a catalogue of economic risk factors has been proposed: ownership structure, access to sensitive information and espionage, dependency on key raw materials, dependency on suppliers, state interventionism, corruption and fraud, social and economic instability, dependency on external decision-making centres, difficulties with financing security structures, and immigration.
Źródło:
Polish Journal of Political Science; 2022, 8, 3; 36-50
2391-3991
Pojawia się w:
Polish Journal of Political Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability conditions for linear continuous-time fractional-order state-delayed systems
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/200015.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear system
fractional
continuous-time
state delay
asymptotic stability
systemy liniowe
stabilność asymptotyczna
opóźnienie czasowe
Opis:
The stability problem of continuous-time linear fractional order systems with state delay is considered. New simple necessary and sufficient conditions for the asymptotic stability are established. The conditions are given in terms of eigenvalues of the state matrix and time delay. It is shown that in the complex plane there exists such a region that location in this region of all eigenvalues of the state matrix multiplied by delay in power equal to the fractional order is necessary and sufficient for the asymptotic stability. Parametric description of boundary of this region is derived and simple new analytic necessary and sufficient conditions for the stability are given. Moreover, it is shown that the stability of the fractional order system without delay is necessary for the stability of this system with delay. The considerations are illustrated by a numerical example.
Źródło:
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2016, 64, 1; 3-7
0239-7528
Pojawia się w:
Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
LMI based control design for linear systems with distributed time delays
Autorzy:
Filasova, A.
Gontkovič, D.
Krokavec, D.
Powiązania:
https://bibliotekanauki.pl/articles/229820.pdf
Data publikacji:
2012
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
linear matrix inequality
systems with distributed time delays
Lyapunov-Krasovskii functional
state control
asymptotic stability
Opis:
The paper concerns the problem of stabilization of continuous-time linear systems with distributed time delays. Using extended form of the Lyapunov-Krasovskii functional candidate, the controller design conditions are derived and formulated with respect to the incidence of structured matrix variables in the linear matrix inequality formulation. The result give sufficient condition for stabilization of the system with distributed time delays. It is illustrated with a numerical example to note reduced conservatism in the system structure.
Źródło:
Archives of Control Sciences; 2012, 22, 2; 217-231
1230-2384
Pojawia się w:
Archives of Control Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Weight and significance of object dynamic models in constructing monitoring systems
Rola i znaczenie modeli dynamicznych obiektu w budowie systemów monitorujących
Autorzy:
Batko, W.
Powiązania:
https://bibliotekanauki.pl/articles/329650.pdf
Data publikacji:
2008
Wydawca:
Polska Akademia Nauk. Polskie Towarzystwo Diagnostyki Technicznej PAN
Tematy:
monitoring
stan techniczny
algorytm
modelowanie
stan dynamiczny
stateczność
przetwarzanie sygnałów
machine technical state
algorithm
monitoring procedure
modelling
dynamic state
stability
signal processing
Opis:
The author's approach to tasks of constructing monitoring systems of the state changes of machines, devices and structures is presented in the paper. The weight and significance of the identification process of the monitored object dynamic model - as a factor which in an universal and coherent way preserves the realisation process of several tasks assigned to this system operations - is emphasised. Purposefulness of applying methods of the technical stability testing for estimation of dynamic behaviours of the monitored object, was indicated. Its usefulness for the selection of the proper monitoring symptoms, for determining their criterion values and for the estimation of their exceeding the permissible values - are shown in the paper.
W artykule zaproponowano autorskie podejście do zadań konstruowania systemów monitorujących zmiany stanów maszyn, urządzeń, konstrukcji. Zwrócono uwagę na rolę i znaczenie procesu identyfikacji modelu dynamicznego monitorowanego obiektu, jako czynnika, który w sposób uniwersalny i spójny zabezpiecza proces wykonawczy szeregu zadań przypisanych funkcjonowaniu tych systemów. W szczególności, wskazano na celowość zaangażowanie metod badania stateczności technicznej do oceny zachowań dynamicznych kontrolowanego obiektu. Pokazano jej użyteczność dla procesu realizacji wyboru właściwych w procesie monitorowania symptomów, określenia dla nich wartości kryterialnych, jak i tworzenia procedur ocen wyjścia ich poza dopuszczalne granice.
Źródło:
Diagnostyka; 2008, 3(47); 137-142
1641-6414
2449-5220
Pojawia się w:
Diagnostyka
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of relaxed Dirichlet boundary control problems
Autorzy:
Arada, N.
Raymond, J.
Powiązania:
https://bibliotekanauki.pl/articles/206117.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
pomiary Younga
relaksacja
sterowanie
control problems
Dirichlet boundary control
pointwise state constraints
relaxation
stability properties
Young measures
Opis:
We study the relaxation by Young measures of a Dirichlet control problem with pointwise state constraints. We give a necessary and sufficient condition for the properness of the relaxation. This condition is expressed in terms of stability properties, for the original control problem, with respect to geometrical perturbations of state constraints.
Źródło:
Control and Cybernetics; 1999, 28, 1; 35-51
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
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