Stochastic Finite-Time H ∞ Performance Analysis of Continuous-Time Systems with Random Abrupt Changes

Abstract

The problem of $H_{\infty }$ control performance analysis of continuous-time systems with random abrupt changes is concerned in this paper. By employing an augmented multiple mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities, new sufficient conditions are obtained relating to finite-time bounded and an $H_{\infty }$ performance index. The finite-time $H_{\infty }$ control performance problem is solved and desired controller is given to ensure the system trajectory stays within a prescribed bound during a given time interval. At last, two numerical examples are provided to show that our results are less conservative than the existing ones.