Finite-time Incremental Stability Analysis for Nonlinear Switched Systems With Unstable Subsystems

In this paper, finite-time incremental stability (FTIS) and finite-time incremental boundedness (FTIB) are investigated for nonlinear switched systems (NSS) with unstable systems. Firstly, based on the reverse mode-dependent average dwell time (MDADT) method, we propose some sufficient conditions for FTIS of NSS. Secondly, the sufficient conditions for NSS to be FTIB with an incremental performance index are given by the multiple incremental Lyapunov functions. Finally, a distinctive advantage of reverse MDADT method is that each subsystems satisfies FTIB in the activation interval. A example has been provided to show the effectiveness of the theoretic results developed.