Stability and positivity with respect to part of the variables for positive Markovian jump systems

• Autorzy: Socha L.

Identyfikatory

DOI

10.24425/bpasts.2019.130186

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

hybrid system; Lyapunov method; Markov jump systems; stability and positivity with respect to the part of variables

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2019
• Tom: Vol. 67, nr 4
• Strony: 769--775
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Socha L.

• Faculty of Mathematics and Natural Sciences, College of Sciences, Cardinal Stefan Wyszynski University in Warsaw, ul. Dewajtis 5, 01-815 Warsaw, Poland

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).