Stability Analysis for T-S Fuzzy Semi-Markovian Switching CVNs with Mixed Delays and General Uncertain Transition Rates

Abstract

This paper concerns with the stochastic stability problem for Takagi-Sugeno (T-S) fuzzy semi-Markovian switching complex-valued networks (CVNs) with mixed delays, where the transition rates of the semi-Markovian process are in the general uncertain form which contain two cases: completely unknown or unknown but with known upper/lower bounds. Based on the Lyapunov stability theory and the stochastic analysis technique, several mode-dependent stability criteria are established to guarantee the considered T-S fuzzy CVN to be asymptotically stable in the mean-square sense. Finally, one numerical example is provided to demonstrate feasibility of the obtained theoretical results.