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

Autor: L. Socha
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Bulletin of the Polish Academy of Sciences: Technical Sciences, Vol 67, Iss No. 4, Pp 769-775 (2019)
Druh dokumentu: article
ISSN: 2300-1917
DOI: 10.24425/bpasts.2019.130186
Popis: The stability and positivity of linear positive Markovian jump systems with respect to part of the variables is considered. The methodologies 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.
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