Abstract
AbstractThis chapter treats the issues of stochastic stability and \(\mathscr {L}_1\)-gain analysis for continuous-time positive fuzzy semi-Markov jump systems (S-MJSs) with time-varying delays. The system under consideration involves semi-Markov stochastic process related to Weibull distribution. The practical systems such as Lotka-Volterra population model described by positive fuzzy S-MJSs always need to consider the sudden changes in the operating process. To deal with these problems, a sufficient condition for stochastic stability of positive fuzzy S-MJSs is established, which is dependent of the bound of time-varying delays.
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