Autor: Chen, J S - Katalog OPAC zbiorów

Skocz do pozycji: 1.

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

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Skocz do pozycji: 2.

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

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Skocz do pozycji: 3.

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

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