Stability and -Gain Analysis for Positive Switched Systems with Time-Varying Delay Under State-Dependent Switching

This paper investigates the problems of stability and -gain analysis for a class of positive switched systems with time-varying delay. Attention is focused on designing a state-dependent switching rule such that the system satisfies a prescribed -gain performance level, where the proposed scheme does not require the switching instants to be known in advance. By constructing an appropriate co-positive type Lyapunov-Krasovskii functional, sufficient conditions for exponential stability with -gain performance of the underlying systems are derived. Furthermore, the stability along the switching surface is analyzed. Finally, two examples are presented to demonstrate the effectiveness of the proposed method.