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Abstract and Applied Analysis
Volume 2014, Article ID 198616, 11 pages
http://dx.doi.org/10.1155/2014/198616
Research Article

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

School of Information and Electrical Engineering, Panzhihua University, Panzhihua, Sichuan 617000, China

Received 10 December 2013; Accepted 21 January 2014; Published 3 March 2014

Academic Editor: Zhengguang Wu

Copyright © 2014 Bing Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.