Release Time:2019-03-11  Hits:

Indexed by: Conference Paper

Date of Publication: 2015-05-23

Included Journals: Scopus、CPCI-S、EI

Page Number: 2389-2394

Key Words: Positive Markov jump systems; Stochastic stability; Distributed time delay; Incomplete known transition rates

Abstract: This paper studies the problem of stochastic stability and stabilization for positive Markov jump systems with distributed time delay and incomplete known transition rates. By using delay partitioning technique, a new form of Lyapunov functional is constructed and a stochastic stability criterion is formulated for positive Markov jump systems with fully known transition rates. Based on this, the case of incomplete known transition rates is discussed. Then a state feedback controller is designed to guarantee the corresponding closed-loop system positive and stochastically stable. The results in this paper are expressed in the form of linear programming problems, and can be easily solved by standard software.