The problem of 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 performance index. The finite-time 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.
"Stochastic Finite-Time Performance Analysis of Continuous-Time Systems with Random Abrupt Changes." Abstr. Appl. Anal. 2014 (SI63) 1 - 11, 2014. https://doi.org/10.1155/2014/198616