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Wyświetlanie 1-15 z 16
Tytuł:
D-stability for a class of discrete descriptor systems with multiple time delays
Autorzy:
Pan, S.
Chen, C.
Hsieh, J.
Powiązania:
https://bibliotekanauki.pl/articles/205885.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
D-stabilność
stabilny asymptotycznie
system opisowy
zwłoka
asymptotically stable
D-stability
descriptor system
proper
time delay
Opis:
In this paper, the research on discrete descriptor systems is extended to include discrete multiple time-delay descriptor systems. The impulse-free and D-stability problem for a class of discrete descriptor systems with multiple time delays is investigated. A delay-dependent criterion is first derived to guarantee that the system is proper. A delay-dependent stability criterion in terms of spectral radius is then presented to ensure the D-stability of the system. Furthermore, a delay-dependent criterion is proposed to guarantee that the system is nebular, impulse-free, and D-stable. Finally, a numerical example is provided to illustrate our main results.
Źródło:
Control and Cybernetics; 2002, 31, 1; 79-89
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability of nominally stable uncertain singularly perturbed systems with multiple time delays
Autorzy:
Chen, C.
Pan, S.
Hsieh, J.
Powiązania:
https://bibliotekanauki.pl/articles/206124.pdf
Data publikacji:
2002
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stabilność asymptotyczna
asymptotic stability
delay-dependent criterion
singularly perturbed system
Opis:
In this paper, the robust asymptotic stability problem for a class of nominally stable uncertain singularly perturbed systems with multiple non-commensurate time delays is considered. A delay-dependent criterion is first proposed in this paper to guarantee robust asymptotic stability of the system under consideration. Based on this result, the range of allowable bounds of the perturbation matrices preserving the closed-loop stability can easily be found. Moreower, a simple criterion is also proposed to guarantee asymptotic, stability of the nominal system. Furthermore, a simple estimation of the stability bound epsilon* is proposed such that the nominal system is asymptotically stable for epsilon [belongs to](0,epsilon*). It can be seen that the stability bound proposed in this paper is less conservative than that presented in recent research. Finally, a numerical example is provided to illustrate our main results.
Źródło:
Control and Cybernetics; 2002, 31, 1; 5-16
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The order reduction and robust D-stability analysis of discrete uncertain time-delay systems by time-scale separation
Autorzy:
Pan, S.-T.
Powiązania:
https://bibliotekanauki.pl/articles/970579.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
D-stabilność
zwłoka
zaburzenie strukturalne
D-stability
two-time-scale system
time delay
time-scale separation
structured perturbation
Opis:
In this paper, the robust D-stability problem for discrete uncertain multiple time-delay systems is examined on the basis of their such reduced-order models (the slow and fast subsystems), which are obtained by time-scale separation method. Under the condition that the slow and fast subsystems of the nominal system are both -D(a,r)-stable, a D-stability criterion for the slow and fast subsystem of the original uncertain system is first derived. A delay-dependent criterion in terms of spectral radius is then proposed to guarantee the robust D-stability of the original uncertain system subject to structured perturbations. Moreover, the criterion for the robust asymptotic stability of the system subject to structured perturbations can be obtained from the proposed robust D-stability criterion. A numerical example is provided to illustrate our main results.
Źródło:
Control and Cybernetics; 2003, 32, 4; 745-760
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Simple conditions for robust stability of positive discrete-time linear systems with delays
Autorzy:
Busłowicz, M.
Powiązania:
https://bibliotekanauki.pl/articles/970235.pdf
Data publikacji:
2010
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stability
robust stability
linear system
delays
linear uncertainty
interval system
Opis:
The paper is devoted to the problem of robust stability of positive linear discrete-time systems with delays in the case of structured perturbations of state matrices. Simple new necessary and sufficient conditions for robust stability in the general case and in the case of system with linear uncertainty structure are established for two sub-cases: 1) unity rank uncertainty structure, 2) non-negative perturbation matrices. It is shown that robust stability of the positive discrete-time linear system with delays is equivalent to: 1) robust stability of the corresponding positive system without delays of the same order as time-delay system - in the general case, 2) asymptotic stability of finite family of the positive vertex systems without delays - in the case of a linear unity rank uncertainty structure, 3) asymptotic stability of only one positive vertex system without delays - in the case of a linear uncertainty structure with non-negative perturbation matrices.
Źródło:
Control and Cybernetics; 2010, 39, 4; 1159-1171
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Remarks on stability of positive linear systems
Autorzy:
Mitkowski, W.
Powiązania:
https://bibliotekanauki.pl/articles/205542.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
algebra macierzy
dyskretny system sterowania
liniowy system sterowania
stabilność
teoria sterowania
asymptotic stability
continous time system
discrete-time system
feedback
matrix algebra
nonnegative matrices
positive linear systems
RC circuits
Opis:
Spectral properties of nonegative matrices are considered. Asymptotic stability and stabilisation problems of positive discrete-time and continous-time linear systems by feedbacks are discussed. The electric RC-networks are presented as examples of positive systems. Numerical calculations were made using the MATLAB program.
Źródło:
Control and Cybernetics; 2000, 29, 1; 295-304
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the stability of continuous-time positive switched systems with rank one difference
Autorzy:
Fornasini, E.
Valcher, M. E.
Powiązania:
https://bibliotekanauki.pl/articles/971053.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
switched system
positive linear system
asymptotic stability
linear copositive Lyapunov function quadratic Lyapunov function
Opis:
Continuous-time positive systems, switching among p subsystems whose matrices differ by a rank one matrix, are introduced, and a complete characterization of the existence of a common linear copositive Lyapunov function for all the subsystems is provided. Also, for this class of systems it is proved that a well-known necessary condition for asymptotic stability, namely the fact that All convex combinations of the system matrices are Hurwitz, becomes equivalent to the generally weaker condition that the systems matrices are Hurwitz. In the special case of two-dimensional systems, this allows for drawing a complete characterization of asymptotic stability. Finally, the case when there are only two subsystems, possibly with commuting matrices, is investigated.
Źródło:
Control and Cybernetics; 2013, 42, 1; 47-62
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stable and related matrices in economic theory
Autorzy:
Giorgi, G.
Powiązania:
https://bibliotekanauki.pl/articles/206275.pdf
Data publikacji:
2003
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
teoria stabilności
system Walrasiana
stability theory
Walrasian system
stable matrices
Opis:
It is well known that local stability analysis of a Walrasian multiple markets model is performed by approximating, according to Taylor's expansion, a system of first-order differential equations. So, one has to study the stability of a linear system (with constant coefficients). Since the earlier studies of Walrasian economic equilibrium, economists have suggested numerous conditions ensuring local stability of the same. The aim of this note is to give a survey of various conditions, used in economic analysis, ensuring that a (real) square matrix is stable. We show, in a unified manner, their inter-relations and make some new remarks on quasi-dominant matrices and on D-stable matrices.
Źródło:
Control and Cybernetics; 2003, 32, 2; 397-410
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stability analysis of fuzzy controll systems simplified as a discrete system
Autorzy:
Hasegawa, T.
Furuhashi, T.
Powiązania:
https://bibliotekanauki.pl/articles/206083.pdf
Data publikacji:
1998
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
analiza stabilności
sieć Petriego
sterowanie rozmyte
fuzzy control
Petri net
stability analysis
Opis:
Fuzzy controls can describe control rules using fuzzy if-then rules and it can incorporate experts' control rules. It is, however, difficult to guarantee the stability of fuzzy control system. This paper presents a new method for stability analysis of fuzzy control system using petri nets. The proposed method crisply divides all of the input and output variables of the fuzzy controller and the fuzzy model of the controlled object. This crisp division makes the fired rules of the fuzzy controller and the fuzzy model, which have truth values greater then 0, be single each. These simplified fuzzy rules can be considered as discrete description of the controller and the controlled object. By approximating and the fuzzy control system as this discrete system, the system can be expressed by the petri nets. The proposed method describes the fuzzy control system using matrix based on a bipartite directed multigraph of the petri net, thereby enables to analyse the stability of the fuzzy control system. The analytic results using the petri nets have clear correspondence to the fired fuzzy rules. The dynamical behavior of the system are able to be understood easily. Simulation is done to verify the proposed stability analysis method.
Źródło:
Control and Cybernetics; 1998, 27, 4; 565-577
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Maximal stability bounds of discrete-time singularly perturbed systems
Autorzy:
Chen, S.-J
Lin, J.-L.
Powiązania:
https://bibliotekanauki.pl/articles/970412.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
discrete-time singularly perturbed system
stability bound
eigenvalue loci
Kronecker product of LFTs
Opis:
The exact stability bound of the parasitic parameter for a discrete-time singularly perturbed system is determined by the linear fractional transformation (LFT) framework. Two systematic approaches including time-domain and frequency-domain methods are proposed to solve this problem based on the unified LFT framework. One employs the Kronecker product of LFTs and the guardian map theory. The other is to plot the eigenvalue loci of a real rational function matrix. Two examples are given to show the feasibility of the approaches.
Źródło:
Control and Cybernetics; 2004, 33, 1; 95-108
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Robust performance of a class of control systems
Autorzy:
Wang, L.
Powiązania:
https://bibliotekanauki.pl/articles/970421.pdf
Data publikacji:
2004
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
system niepewny
analiza odporności
stabilność Hurwitza
D-stabilność
funkcja przenoszenia
uncertain systems
robustness analysis
Kharitonov's theorem
complex interval polynomials
polynomial matrix family
Hurwitz stability
D-stability
transfer functions
strict positive realness
Opis:
Some Kharitonov-like robust Hurwitz stability criteria are established for a class of complex polynomial families with nonlinearly correlated perturbations. These results are extended to the polynomial matrix case and non-interval D-stability case. Applications of these results in testing of robust strict positive realness of real and complex interval transfer function families are also presented.
Źródło:
Control and Cybernetics; 2004, 33, 1; 71-83
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Stabilization of a fluid structure interaction with nonlinear damping
Autorzy:
Lasiecka, I.
Lu, Y.
Powiązania:
https://bibliotekanauki.pl/articles/206598.pdf
Data publikacji:
2013
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
fluid structure interaction
interface
Navier-Stokes equation
system of elasticity
feedback boundary control
strong stability
uniform stability
optimal control
passive damping
active damping
dynamic and static damping
Opis:
Asymptotic stability of finite energy solutions to a fluid-structure interaction with a static interface in a bounded domain Ω ∈ Rn, n = 2 is considered. It is shown that the undamped model subject to ”partial flatness” geometric condition on the in- terface produces solutions whose energy converges strongly to zero; while with a stress type feedback control applied on the interface of the structure, the model produces solutions whose energy is exponentially stable. An addition of a static damping on the interface produces solutions whose full norm in the phase space is exponentially stable. Without a static damping an interesting phenomenon occurs that steady state solutions (equilibria) might generate genuinely growing in time solutions. This is purely nonlinear phenomenon captured by newly developed techniques amenable to handle instability of steady state solutions arising from nonlinearity.
Źródło:
Control and Cybernetics; 2013, 42, 1; 155-181
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of positive and stable fractional continuous-time linear systems by the use of Caputo Fabrizio derivative
Autorzy:
Kaczorek, T.
Powiązania:
https://bibliotekanauki.pl/articles/205676.pdf
Data publikacji:
2016
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
analysis
Caputo-Fabrizio definition
fractional
linear
positivity
stability
system
Opis:
Using the Caputo-Fabrizio definition of fractional order derivative, the positivity and asymptotic stability of the fractional continuous-time linear systems are investigated. The solution to the matrix fractional differential state equations is derived. Necessary and sufficient conditions for the positivity and asymptotic stability of the fractional linear systems are established. Tests for checking of the asymptotic stability of the systems are provided.
Źródło:
Control and Cybernetics; 2016, 45, 3; 289-299
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Control of delay plants via continuous-time GPC principle
Autorzy:
Kowalczuk, Z.
Suchomski, P.
Powiązania:
https://bibliotekanauki.pl/articles/206549.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
stabilność
sterowanie
continuous-time systems
control design problem
delay
predictive control
system design
closed loop stability
Opis:
The continuous-time generalised predictive control (CGPC) is considered in the context of control of continuous-time systems having a transportation delay. It is shown that the basic CGPC design strategy can be given in a form which facilitates a clear discussion of relevant design consequences concerning stability issues. The main results that follow incorporate several solutions to the delay-plant control design problem and a verification of the proposed algorithms in terms of the closed-loop stability.
Źródło:
Control and Cybernetics; 1999, 28, 2; 291-314
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Limits of stabilization of a networked hyperbolic system with a circle
Autorzy:
Gugat, Martin
Huang, Xu
Wang, Zhiqiang
Powiązania:
https://bibliotekanauki.pl/articles/31342765.pdf
Data publikacji:
2023
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
hyperbolic system
exponential stability
circle
network
Opis:
This paper is devoted to the discussion of the exponential stability of a networked hyperbolic system with a circle. Our analysis extends an example by Bastin and Coron about the limits of boundary stabilizability of hyperbolic systems to the case of a networked system that is defined on a graph which contains a cycle. By spectral analysis, we prove that the system is stabilizable while the length of the arcs is sufficiently small. However, if the length of the arcs is too large, the system is not stabilizable. Our results are robust with respect to small perturbations of the arc lengths. Complementing our analysis, we provide numerical simulations that illustrate our findings.
Źródło:
Control and Cybernetics; 2023, 52, 1; 79-121
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A simple criterion for the global exponential stability of uncertain T-S fuzzy singularly perturbed discrete-time systems
Autorzy:
Sun, Y. J.
Powiązania:
https://bibliotekanauki.pl/articles/205643.pdf
Data publikacji:
2011
Wydawca:
Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:
Takagi-Sugeno fuzzy system
singularly perturbed systems
uncertain systems
Opis:
In this paper, the global exponential stability for a class of uncertain Takagi-Sugeno (T-S) fuzzy singularly perturbed systems is investigated. Based on time-domain approach with difference inequality technique, a simple criterion is derived to guarantee the global exponential stability of such systems. The upper bound of the singular perturbation parameter is also provided by estimating the unique positive zero of specific function. Finally, two numerical examples are given to demonstrate the feasibility and effectiveness of the obtained result.
Źródło:
Control and Cybernetics; 2011, 40, 1; 59-71
0324-8569
Pojawia się w:
Control and Cybernetics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 16

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