Temat: Markov jump systems - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A new approach to robust ﬁnite-time H∞ control of continuous-time Markov jump systems
Autorzy:: Yan, S.
Shen, M.
Fei, S.
Zhang, G.
Powiązania:: https://bibliotekanauki.pl/articles/206785.pdf
Data publikacji:: 2015
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: Markov jump systems
partly known transition probabilities
rob ust ﬁnite-time H∞control
Opis:: This paper studies the robust ﬁnite-time H∞ state feedback control problem of continuous-time Markov jump systems (MJSs) subject to norm bounded uncertainties. Transition probabilities are allowed to be known, uncertain with known bounds or unknown. Based on the continuous transition probability property and the developed slack variable technique, Lyapunov variables are separatek from unknown transition probabilities and system matrices. With these separations, a relaxed method for robust ﬁnite-time H∞ controller design is proposed in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the eﬀectiveness of and the beneﬁt from the proposed method.
Źródło:: Control and Cybernetics; 2015, 44, 2; 211-231
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Stability and positivity with respect to part of the variables for positive Markovian jump systems
Autorzy:: Socha, L.
Powiązania:: https://bibliotekanauki.pl/articles/200593.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: hybrid system
Lyapunov method
Markov jump systems
stability and positivity with respect to the part of variables
Opis:: The stability and positivity of linear positive Markovian jump systems with respect to part of the variables is considered. The method-ologies of stability of positive systems with known transition probabilities based on common linear copositive Lyapunov function and stability of linear systems with respect to part of the variables are combined to find sufficient conditions of the stochastic stability and positivity of Markovian jump systems with respect to part of the variables. The results are extended for a class of nonlinear positive Markovian jump systems with respect to part of the variables. An example is given to illustrate the obtained results.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2019, 67, 4; 769-775
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Discrete-time Markovian jump linear systems
Autorzy:: Szajowski, K.
Koning, W.
Powiązania:: https://bibliotekanauki.pl/articles/205971.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: proces Markowa
sterowanie optymalne
układ optymalny liniowy
delayed observation
detectability
jump linear systems
Markov chain
optimal control
stabilizability
Opis:: The paper considers a problem of optimal control of a linear system with the parameters dependent on the states of a Markov chain. The cost criterion is quadratic in the controls and states of the system. The criterion parameters also depend on the states of the Markov chain. Two models of observation of the Markov chain are adopted - delay for one step and no delay. It is shown that under appopriate mean square detectability and stabilizability conditions the infinite horizon optimal control problem for the general case of Markovian jump linear quadratic systems has a unigue mean square stabilizing solution. Necessary and sufficient conditions are given to determine if a system is mean square stabilizable.
Źródło:: Control and Cybernetics; 1998, 27, 1; 63-80
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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