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Indexed by:Journal Papers

Date of Publication:2015-08-01

Journal:IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS

Included Journals:SCIE、EI、Scopus

Volume:62

Issue:8

Page Number:801-805

ISSN No.:1549-7747

Key Words:Copositive Lyapunov function; homogeneous and switching transition probabilities (TPs); mean stability; positive Markov jump linear systems (PMJLSs); time-dependent switching

Abstract:This brief investigates the mean stability problem of positive Markov jump linear systems (PMJLSs) in the discrete-time domain. First, some sufficient and necessary conditions are presented for PMJLSs with homogeneous transition probability (TP) by analyzing the time evolution of the first-order moment of the state. Then, by using a copositive Lyapunov function approach, a computable sufficient condition for the PMJLSs with switching TPs is proposed in the framework of dwell time to guarantee the mean stability. Finally, some numerical examples are given to demonstrate the effectiveness of the obtained theoretical results.