Stochastic stability and L_1-gain analysis for positive nonlinear semi-Markov jump systems with time-varying delay via T-S fuzzy model approach

摘要

This paper treats the issues of stochastic stability and L-1-gain analysis for continuous-time positive fuzzy semi-Markov jump systems (PFSMJSs) with time-varying delay. The system under consideration involves semi-Markov stochastic process related to Weibull distribution. The practical systems such as Lotka-Volterra population model described by PFSMJSs always need to consider the sudden change in the operating process. To deal with these problems, a sufficient condition for stochastic stability of PFSMJSs is established, which is dependent of the bound of time-varying delay. Then, based on the obtained results, L-1-gain performance is analyzed in standard linear programming (LP). Finally, Lotka-Volterra population model shows the validity of the conclusions. (C) 2018 Elsevier B.V. All rights reserved.