## Abstract and Applied Analysis

### Stochastic Finite-Time ${H}_{\infty }$ Performance Analysis of Continuous-Time Systems with Random Abrupt Changes

Bing Wang

#### 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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 198616, 11 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412605768

Digital Object Identifier
doi:10.1155/2014/198616

Mathematical Reviews number (MathSciNet)
MR3178852

#### Citation

Wang, Bing. Stochastic Finite-Time ${H}_{\infty }$ Performance Analysis of Continuous-Time Systems with Random Abrupt Changes. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 198616, 11 pages. doi:10.1155/2014/198616. https://projecteuclid.org/euclid.aaa/1412605768

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