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Tytuł:
Pontryagin Maximum Principle for coupled slow and fast systems
Autorzy:
Artstein, Z.
Powiązania:
https://bibliotekanauki.pl/articles/970920.pdf
Data publikacji:
2009
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
optimal control
singular perturbations
maximum principle
Opis:
When slow and fast controlled dynamics are coupled, the variational limit, as the ratio of time scales grows, is best depicted as a trajectory in a probability measures space. The effective control is then an invariant measure on the fast state-control space. The paper presents the form of the Pontryagin Maximum Principle for this variational limit and examines its relation to the Maximum Principle of the perturbed system.
Źródło:
Control and Cybernetics; 2009, 38, 4A; 1003-1019
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Monitoring of ocean current perturbations using acoustic phase variations
Autorzy:
Zieliński, A.
Butowski, M.
Kraeutner, P.
Powiązania:
https://bibliotekanauki.pl/articles/332840.pdf
Data publikacji:
2009
Wydawca:
Polskie Towarzystwo Akustyczne
Tematy:
ocean current perturbations
acoustics phase variations
hydroacoustics
Opis:
In this paper, we review an acoustic method for measuring both average ocean current speed and sound speed along an acoustic path. The method requires two or more stations on the sea floor, synchronized through a connecting underwater electric cable, that can transmit and receive an acoustic signal and The method is based on reciprocal acoustic transmissions to determine time of flight in both the forward and reverse directions. A specific implementation of this method is proposed. We also consider a novel method for monitoring ocean current perturbations through acoustic phase measurements. In simplest form, a continuous sinusoidal signal is transmitted from one station to a second station. Any variations in ocean current speed will introduce a phase shift in the received signal proportional to the time derivative of the current speed. This effect has been demonstrated through ultrasonic in-air experiments. Finally, the two methods are combined into a single system that continuously measures small-scale ocean current velocity changes.
Źródło:
Hydroacoustics; 2009, 12; 237-248
1642-1817
Pojawia się w:
Hydroacoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C
Autorzy:
Gil', Michael
Powiązania:
https://bibliotekanauki.pl/articles/729497.pdf
Data publikacji:
2014
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
matrix equations
norm estimates
perturbations
invariant subspaces
Opis:
Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2014, 34, 2; 191-206
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Performance analysis of the fractional-order vehicle mechatronic ISD suspension with parameter perturbation
Autorzy:
Shen, Yujie
Hua, Jie
Xia, Xiaohua
Liu, Yanling
Yang, Xiaofeng
Powiązania:
https://bibliotekanauki.pl/articles/2086945.pdf
Data publikacji:
2022
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
vehicle suspension
mechatronic inerter
fractional order
parameter perturbations
Opis:
This paper concerns the performance analysis of a fractional-order vehicle mechatronic ISD suspension with parameter perturbation. A dynamic model of the vehicle mechatronic ISD suspension based on a fractional-order electrical network is constructed. The superiority of the vibration isolation performance of the fractional-order ISD suspension is demonstrated, and the dynamic performance of the suspension is analyzed considering perturbation of parameters. Results show that the inertance has an important role when the frequency is above 103 Hz, and the fractional inductance order and fractional capacitance order have significant impact in the frequency range of 10−2 Hz to 102 Hz.
Źródło:
Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 141--152
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Logarithmic norms and regular perturbations of differential equations
Autorzy:
Banasiak, Jacek
Powiązania:
https://bibliotekanauki.pl/articles/2078970.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
Tematy:
Logarithmic norm
stability
regular perturbations of differential equations
Opis:
In this note we explore the concept of the logarithmic norm of a matrix and illustrate its applicability by using it to find conditions under which the convergence of solutions of regularly perturbed systems of ordinary differential equations is uniform globally in time.
Źródło:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2019, 73, 2; 5-19
0365-1029
2083-7402
Pojawia się w:
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Gaussian process dynamic modeling and backstepping sliding mode control for magnetic levitation system of maglev train
Autorzy:
Sun, Yougang
Wang, Sumei
Lu, Yang
Xu, Junqi
Powiązania:
https://bibliotekanauki.pl/articles/2086959.pdf
Data publikacji:
2022
Wydawca:
Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:
maglev train
Gaussian process
sliding mode control
parameter perturbations
Opis:
The maglev trains are strongly nonlinear and open-loop unstable systems with external disturbances and parameters uncertainty. In this paper, the Gaussian process method is utilized to get the dynamic parameters, and a backstepping sliding mode controller is proposed for magnetic levitation systems (MLS) of maglev trains. That is, for a MLS of a maglev train, a nonlinear dynamic model with accurate parameters is obtained by the Gaussian process regression method, based on which a novel robust control algorithm is designed. Specifically, the MLS is divided into two sub-systems by a backstepping method. The inter virtual control inputs and the Lyapunov function are constructed in the first sub-system. For the second sub-system, the sliding mode surface is constructed to fulfil the design of the whole controller to asymptotically regulate the airgap to a desired trajectory. The stability of the proposed control method is analyzed by the Lyapunov method. Both simulation and experimental results are included to illustrate the superior performance of the presented method to cope with parameters perturbations and external disturbance.
Źródło:
Journal of Theoretical and Applied Mechanics; 2022, 60, 1; 49--62
1429-2955
Pojawia się w:
Journal of Theoretical and Applied Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Oscillations in a Growth Model with Capital, Technology and Environment with Exogenous Shocks
Autorzy:
Zhang, Wei-Bin
Powiązania:
https://bibliotekanauki.pl/articles/1036569.pdf
Data publikacji:
2015
Wydawca:
Academicus. International Scientific Journal publishing house
Tematy:
perturbations
economic oscillations
economic growth
technological change
wealth accumulation
Opis:
This paper generalizes the dynamic growth model with wealth accumulation, technological change and environmental change by Zhang (2012) by making all the parameters as time-dependent parameters. The model treats physical capital accumulation, knowledge creation and utilization, and environmental change as endogenous variables. It synthesizes the basic ideas of the neoclassical growth theory, Arrow’s learning-by-doing model and the traditional dynamic models of environmental change within a comprehensive framework. The behavior of the household is described with an alternative approach to household behavior. We simulated the model to demonstrate existence of equilibrium points, motion of the dynamic system, and oscillations due to different exogenous shocks.
Źródło:
Academicus International Scientific Journal; 2015, 12; 73-93
2079-3715
2309-1088
Pojawia się w:
Academicus International Scientific Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Some Properties of the Eigenvalues of the Net Laplacian Matrix of a Signed Graph
Autorzy:
Stanić, Zoran
Powiązania:
https://bibliotekanauki.pl/articles/32304147.pdf
Data publikacji:
2022-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
(net) Laplacian matrix
edge perturbations
largest eigenvalue
net-degree
Opis:
Given a signed graph $ \dot{G} $, let $ A_{ \dot{G} } $ and $ D_{\dot{G}}^\pm $ denote its standard adjacency matrix and the diagonal matrix of vertex net-degrees, respectively. The net Laplacian matrix of $ \dot{G} $ is defined to be $ N_{ \dot{G} } = D_{\dot{G}}^\pm - A_{ \dot{G} } $. In this study we give some properties of the eigenvalues of $ N_{ \dot{G} } $. In particular, we consider their behaviour under some edge perturbations, establish some relations between them and the eigenvalues of the standard Laplacian matrix and give some lower and upper bounds for the largest eigenvalue of $ N_{ \dot{G} } $.
Źródło:
Discussiones Mathematicae Graph Theory; 2022, 42, 3; 893-903
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Perturbation analysis of electric field around objects in sea water
Autorzy:
Jakubiuk, K.
Zimny, P.
Wołoszyn, M.
Powiązania:
https://bibliotekanauki.pl/articles/377479.pdf
Data publikacji:
2012
Wydawca:
Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:
electric field
object in sea water
location methods
electric perturbations
Opis:
In marine environment there are different types of objects, such as ships or naval mines, which should be located and identified. One of the location methods is based on the electric potential distribution measurement [1, 2], The object with an insulating or conductive casing, placed in an electric field, causes some field perturbations. For the purpose of the object location the dimensions of the area, where it is possible to determine electric field perturbations by measurement, are important. In this way one can pre-determine the extent of the system for locating and identifying objects placed in the seawater. This paper presents an analytical approach to the perturbation analysis of electric field distribution caused by a sphere and an ellipsoid placed in a uniform electric field. The distance, beyond which the uniform electric perturbations can be neglected, is determined.
Źródło:
Poznan University of Technology Academic Journals. Electrical Engineering; 2012, 69; 81-88
1897-0737
Pojawia się w:
Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Notes on the nonlinear dependence of a multiscale coupled system with respect to the interface
Autorzy:
Morales, F. A.
Powiązania:
https://bibliotekanauki.pl/articles/255380.pdf
Data publikacji:
2015
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
multiscale coupled systems
interface geometric perturbations
variational formulations
nonlinear dependence
Opis:
This work studies the dependence of the solution with respect to interface geometric perturbations, in a multiscaled coupled Darcy flow system in direct variational formulation. A set of admissible perturbation functions and a sense of convergence is presented, as well as sufficient conditions on the forcing terms, in order to conclude strong convergence statements. For the rate of convergence of the solutions we start solving completely the one dimensional case, using orthogonal decompositions on the appropriate subspaces. Finally, the rate of convergence question is analyzed in a simple multi dimensional setting, by studying the nonlinear operators introduced due to the geometric perturbations.
Źródło:
Opuscula Mathematica; 2015, 35, 4; 517-546
1232-9274
2300-6919
Pojawia się w:
Opuscula Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robustness of solutions of an infinite-dimensional algebraic Sylvester equation under bounded perturbations
Autorzy:
Emirsajłow, Z.
Powiązania:
https://bibliotekanauki.pl/articles/205989.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
distributed parameter systems
algebraic Sylvester equation
bounded perturbations
implemented semigroup
Opis:
The output regulation problem for distributed parameter systems, see e.g. Byrnes, Lauko, Gillian and Shubov (2000) and Paunonen (2011), and the observer design problem for such systems, see e.g. Emirsajłow (2012), are examples of import ant control problems, where analysis of infinite-dimensional algebraic Sylvester equations plays a crucial role. This paper studies bounded perturbations of the unbounded operators of the algebraic infinitedimensional Sylvester equation. We derive some estimate on the perturbation operator under which the algebraic Sylvester equation preserves a unique solution or, in the control systems terminology, a solution is robust under small bounded perturbations. In our approach we employ the concept of an implemented semigroup, see e.g. Alber (2001) and Emirsajłow (2012), which is a special case of the so-called bi-continuous semigroup, e.g. Farkas (2004).
Źródło:
Control and Cybernetics; 2013, 42, 1; 27-45
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Bang-bang controls in the singular perturbations limit
Autorzy:
Artstein, Z.
Powiązania:
https://bibliotekanauki.pl/articles/970546.pdf
Data publikacji:
2005
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
zaburzenia osobliwe
miara Younga
bang-bang
singular perturbations
Young measures
Opis:
A general form of the dynamics obtained as a limit of trajectories of singularly perturbed linear control systems is presented. The limit trajectories are described in terms of probability measure-valued maps. This allows to determine the extent to which the bang-bang principle for linear control systems is carried over to the singular limit.
Źródło:
Control and Cybernetics; 2005, 34, 3; 645-663
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
Autorzy:
Gudovich, Anastasie
Kamenski, Mikhail
Nistri, Paolo
Powiązania:
https://bibliotekanauki.pl/articles/729318.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
singular perturbations
differential inclusions
analytic semigroups
multivalued compact operators
Lipschitz selections
Opis:
We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset $Z_L(ε)$ of the solution set of the singularly perturbed system. This subset is the set of the Hölder continuous solutions defined in [0,d], d > 0 with prescribed exponent and constant L. We show that $Z_L(ε)$ is uppersemicontinuous at ε = 0 in the C[0,d]×C[δ,d] topology for any δ ∈ (0,d].
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2001, 21, 2; 207-234
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal control of impulsive stochastic evolution inclusions
Autorzy:
Ahmed, N.
Powiązania:
https://bibliotekanauki.pl/articles/729552.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
impulsive perturbations
C₀-semigroups
stochastic systems
differential inclusions
vector measures
optimal controls
Opis:
In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions driven by vector measures. We use stochastic vector measures as controls adapted to an increasing family of complete sigma algebras and prove the existence of optimal controls.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 2; 155-184
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Impulsive perturbation of C₀-semigroups and stochastic evolution inclusions
Autorzy:
Ahmed, N.
Powiązania:
https://bibliotekanauki.pl/articles/729564.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
impulsive perturbations
C₀-semigroups
stochastic systems
differential inclusions
vector measures
impulsive controls
Opis:
In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions. We prove existence of solutions and study properties of the solution set. It is also indicated how these results can be used in the study of control systems driven by vector measures.
Źródło:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2002, 22, 1; 125-149
1509-9407
Pojawia się w:
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 30

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