Stability and L1-gain analysis for switched positive fuzzy systems with time-delay: A state-dependent switching policy

Abstract

This work exploits a state-dependent switching policy to deal with stability analysis and L1-gain performance of switched positive fuzzy systems with time-delay. By dividing up the nonnegative state space, an improved state-dependent switching policy is devised. The main advantages of the proposed switching policy are that the chattering behavior commonly arisen in traditional state-dependent switching strategies is reduced and allows each subsystem to be unstable. Also, sufficient conditions guaranteeing asymptotic stability with an L1-gain performance are derived by the usage of multiple linear copositive Lyapunov-Krasovskii functionals method. Moreover, the proposed approach is also extended to cope with the concerned system with uncertainties, in particular interval ones. Finally, the Lotka-Volterra model is adopted to verify the validity and feasibility of the conclusions.