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Wyszukujesz frazę "SYSTEM THEORY" wg kryterium: Temat


Wyświetlanie 1-11 z 11
Tytuł:
Fornasini-Marchesini 2-D State Space Models: Transfer Function Computation Via the Dft
Autorzy:
Antoniou, G.
Emmons, K.
Powiązania:
https://bibliotekanauki.pl/articles/911185.pdf
Data publikacji:
2000
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
teoria systemów
transformata Fouriera
two dimensions system theory
Fourier transform
DFT algorithm
Fornasini-Marchesini's model
Opis:
A new algorithm is presented for the computation of the coefficients of the determinantal polynomial and the coefficients of the adjoint polynomial matrix of a given two-dimensional (2-D) state space model of Fornasini-Marchesini type. The algorithm has been implemented in Matlab and uses the discrete Fourier transform (DFT). The simplicity and efficiency of the technique are illustrated by two examples.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2000, 10, 2; 321-331
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the convergence of sigmoidal fuzzy grey cognitive maps
Autorzy:
Harmati, István Á.
Kóczy, László T.
Powiązania:
https://bibliotekanauki.pl/articles/331060.pdf
Data publikacji:
2019
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
fuzzy cognitive map
grey system theory
fuzzy grey cognitive map
fixed point
mapa kognitywna rozmyta
teoria szarych systemów
rozmyta mapa poznawcza
punkt stały
Opis:
Fuzzy cognitive maps (FCMs) are recurrent neural networks applied for modelling complex systems using weighted causal relations. In FCM-based decision-making, the inference about the modelled system is provided by the behaviour of an iteration. Fuzzy grey cognitive maps (FGCMs) are extensions of fuzzy cognitive maps, applying uncertain weights between the concepts. This uncertainty is expressed by the so-called grey numbers. Similarly as in FCMs, the inference is determined by an iteration process which may converge to an equilibrium point, but limit cycles or chaotic behaviour may also turn up. In this paper, based on the grey connections between the concepts and the parameters of the sigmoid threshold function, we give sufficient conditions for the existence and uniqueness of fixed points of sigmoid FGCMs.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2019, 29, 3; 453-466
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Decomposition of the symptom observation matrix and grey forecasting in vibration condition monitoring of machines
Autorzy:
Cempel, C.
Powiązania:
https://bibliotekanauki.pl/articles/929868.pdf
Data publikacji:
2008
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
zużycie maszyn
obserwacja wielowymiarowa
drganie
przestrzeń uszkodzeń
przestrzeń obserwacji
wartość graniczna symptomu
prognozowanie
teoria szarych systemów
machine wear
multidimensional observation
vibration
SVD decomposition
fault space
observation space
symptom limit value
forecasting
grey system theory
Opis:
With the tools of modern metrology we can measure almost all variables in the phenomenon field of a working machine, and many of the measured quantities can be symptoms of machine conditions. On this basis, we can form a symptom observation matrix (SOM) intended for condition monitoring and wear trend (fault) identification. On the other hand, we know that contemporary complex machines may have many modes of failure, called faults. The paper presents a method of the extraction of the information about faults from the symptom observation matrix by means of singular value decomposition (SVD), in the form of generalized fault symptoms. As the readings of the symptoms can be unstable, the moving average of the SOM is applied with success. An attempt to assess the diagnostic contribution of a primary symptom is made, and also an approach to assess the symptom limit value and to connect the SVD methodology with neural nets is considered. Finally, a condition forecasting problem is discussed and an application of grey system theory (GST) to symptom prognosis is presented. These possibilities are illustrated by processing data taken directly from the machine vibration condition monitoring area.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2008, 18, 4; 569-579
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On a stable solution of the problem of disturbance reduction
Autorzy:
Maksimov, Vyacheslav I.
Powiązania:
https://bibliotekanauki.pl/articles/1838215.pdf
Data publikacji:
2021
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
disturbance reduction
dynamical controlled system
guaranteed control theory
redukcja zakłóceń
system sterowany dynamicznie
teoria sterowania
Opis:
We study the problem of active reduction of the influence of a disturbance on the output of a linear control system. We consider a system of linear differential equations under the action of an unknown disturbance and a control to be formed. Our goal is to design an algorithm for reducing the disturbance by means of an appropriate control on the basis of inaccurate measurements of the system phase coordinates. This algorithm should form a feedback control that would guarantee that the trajectory of a given system tracks the trajectory of the reference system, i.e., the system described by the same differential equations but with zero control and disturbance. We present an algorithm for solving this problem. The algorithm, based on the constructions of guaranteed control theory, is stable with respect to informational noises and computational errors.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2021, 31, 2; 187-194
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Control of a Team of Mobile Robots Based on Non-cooperative Equilibria with Partial Coordination
Autorzy:
Skrzypczyk, K.
Powiązania:
https://bibliotekanauki.pl/articles/908483.pdf
Data publikacji:
2005
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system wielorobotowy
planowanie ruchu
teoria gier
multi-robot systems
motion planning
game theory
Opis:
In this work we present an application of the concept of non-cooperative game equilibria to the design of a collision free movement of a team of mobile robots in a dynamic environment. We propose the solution to the problem of feasible control synthesis, based on a partially centralized sensory system. The control strategy based on the concept of non-cooperative game equilibria is well known in the literature. It is highly efficient through phases where the solution is unique. However, even in simple navigation problems, it happens that multiple equilibria occur, which incurs a problem for control synthesis and may lead to erroneous results. In this paper we present a solution to this problem based on the partial centralization idea. The coordinator module is incorporated into the system and becomes active when multiple equilibria are detected. The coordination method includes a ``fair arbiter'' for the selection of an appropriate equilibrium solution. Simulation studies of the proposed methodology were carried out for 2, 3 and 5 robots, and their results are presented.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2005, 15, 1; 89-97
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Slime mould games based on rough set theory
Autorzy:
Pancerz, K.
Schumann, A.
Powiązania:
https://bibliotekanauki.pl/articles/331200.pdf
Data publikacji:
2018
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
slime mould game
Physarum machine
transition system
rough set theory
simulation software
system przejściowy
teoria zbiorów przybliżonych
oprogramowanie symulacyjne
Opis:
We define games on the medium of plasmodia of slime mould, unicellular organisms that look like giant amoebae. The plasmodia try to occupy all the food pieces they can detect. Thus, two different plasmodia can compete with each other. In particular, we consider game-theoretically how plasmodia of Physarum polycephalum and Badhamia utricularis fight for food. Placing food pieces at different locations determines the behavior of plasmodia. In this way, we can program the plasmodia of Physarum polycephalum and Badhamia utricularis by placing food, and we can examine their motion as a Physarum machine—an abstract machine where states are represented as food pieces and transitions among states are represented as movements of plasmodia from one piece to another. Hence, this machine is treated as a natural transition system. The behavior of the Physarum machine in the form of a transition system can be interpreted in terms of rough set theory that enables modeling some ambiguities in motions of plasmodia. The problem is that there is always an ambiguity which direction of plasmodium propagation is currently chosen: one or several concurrent ones, i.e., whether we deal with a sequential, concurrent or massively parallel motion. We propose to manage this ambiguity using rough set theory. Firstly, we define the region of plasmodium interest as a rough set; secondly, we consider concurrent transitions determined by these regions as a context-based game; thirdly, we define strategies in this game as a rough set; fourthly, we show how these results can be interpreted as a Go game.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2018, 28, 3; 531-544
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of Second-order Systems by Non-linear Feedback
Autorzy:
Skruch, P.
Powiązania:
https://bibliotekanauki.pl/articles/907952.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ drugiego rzędu
teoria stabilności
sterowanie nieliniowe
second-order system
stability theory
non-linear feedback
Opis:
A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2004, 14, 4; 455-460
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Well-Posed Linear Systems - a Survey With Emphasis on Conservative Systems
Autorzy:
Weiss, G.
Staffans, O. J.
Tucsnak, M.
Powiązania:
https://bibliotekanauki.pl/articles/908320.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system liniowy
układ zachowawczy
równanie różniczkowe
well-posed linear systems
regular linear system
operator semigroup
consevative system
scattering theory
time-flow-inversion
differential equations in Hilbert space
beam equation
Opis:
We survey the literature on well-posed linear systems, which has been an area of rapid development in recent years. We examine the particular subclass of conservative systems and its connections to scattering theory. We study some transformations of well-posed systems, namely duality and time-flow inversion, and their effect on the transfer function and the generating operators. We describe a simple way to generate conservative systems via a second-order differential equation in a Hilbert space. We give results about the stability, controllability and observability of such conservative systems and illustrate these with a system modeling a controlled beam.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 1; 7-33
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of Sensitivity Theory to Fuzzy Logic Based Fdi
Autorzy:
Dalton, T.
Klotzek, P.
Frank, P. M.
Powiązania:
https://bibliotekanauki.pl/articles/908289.pdf
Data publikacji:
1999
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
system rozmyty
wyodrębnienie i wykrycie błędu
teoria wrażliwości
analiza reszt
fuzzy systems
fault detection and isolation
fuzzy inference
sensitivity theory
residual analysis
two-tank system
Opis:
This paper describes an application of sensitivity theory to the analysis of a certain class of fuzzy systems which can be used for fault detection and isolation (FDI). The work is divided into three main tasks. The first is the mathematical representation of some class of fuzzy systems. This is followed by an application of sensitivity theory to fuzzy systems based on the approach detailed in the first part. Finally, this method is applied to a fuzzy fault diagnosis scheme for the two-tank system, and the results compared with those achieved by the application of sensitivity theory to a non-fuzzy diagnosis scheme for the same system. Simulation results for the fuzzy and non-fuzzy fault diagnosis schemes are presented, which verify the results obtained via the application of sensitivity theory.
Źródło:
International Journal of Applied Mathematics and Computer Science; 1999, 9, 3; 619-636
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
J-energy preserving well-posed linear systems
Autorzy:
Staffans, O. J.
Powiązania:
https://bibliotekanauki.pl/articles/908123.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
układ zachowawczy
system liniowy
równanie Lyapunova
równanie różniczkowe Riccatiego
well-posed linear systems
system node
transfer function
Lax-Phillips semigroup
dissipative systems
conservative system
model theory
conservative realization
J-energy-preserving system
Lyapunov equations
Riccati equation
Opis:
The following is a short survey of the notion of a well-posed linear system. We start by describing the most basic concepts, proceed to discuss dissipative and conservative systems, and finally introduce J-energy-preserving systems, i.e., systems that preserve energy with respect to some generalized inner products (possibly semi-definite or indefinite) in the input, state and output spaces. The class of well-posed linear systems contains most linear time-independent distributed parameter systems: internal or boundary control of PDE's, integral equations, delay equations, etc. These systems have existed in an implicit form in the mathematics literature for a long time, and they are closely connected to the scattering theory by Lax and Phillips and to the model theory by Sz.-Nagy and Foias. The theory has been developed independently by many different schools, and it is only recently that these different approaches have begun to converge. One of the most interesting objects of the present study is the Riccati equation theory for this class of infinite-dimensional systems (H2- and Hinfty-theories).
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 6; 1361-1378
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Generation of synchronizing state machines from a transition system: A region-based approach
Autorzy:
Teren, Viktor
Cortadella, Jordi
Villa, Tiziano
Powiązania:
https://bibliotekanauki.pl/articles/2201022.pdf
Data publikacji:
2023
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
transition system
Petri net
state machine
theory of regions
SAT
pseudo Boolean optimization
układ przejściowy
sieć Petriego
maszyna stanów
teoria regionów
Opis:
Transition systems (TSs) and Petri nets (PNs) are important models of computation ubiquitous in formal methods for modeling systems. A crucial problem is how to extract, from a given TS, a PN whose reachability graph is equivalent (with a suitable notion of equivalence) to the original TS. This paper addresses the decomposition of transition systems into synchronizing state machines (SMs), which are a class of Petri nets where each transition has one incoming and one outgoing arc. Furthermore, all reachable markings (non-negative vectors representing the number of tokens for each place) of an SM have only one marked place with only one token. This is a significant case of the general problem of extracting a PN from a TS. The decomposition is based on the theory of regions, and it is shown that a property of regions called excitation-closure is a sufficient condition to guarantee the equivalence between the original TS and a decomposition into SMs. An efficient algorithm is provided which solves the problem by reducing its critical steps to the maximal independent set problem (to compute a minimal set of irredundant SMs) or to satisfiability (to merge the SMs). We report experimental results that show a good trade-off between quality of results vs. computation time.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2023, 33, 1; 133--149
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-11 z 11

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