## Abstract and Applied Analysis

### Delay-Dependent Robust Exponential Stability and ${H}_{\infty }$ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays

Jianwei Xia

#### Abstract

This paper deals with the problem of robust exponential stability and ${H}_{\infty }$ performance analysis for a class of uncertain Markovian jumping system with multiple delays. Based on the reciprocally convex approach, some novel delay-dependent stability criteria for the addressed system are derived. At last, numerical examples is given presented to show the effectiveness of the proposed results.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 738318, 10 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412605766

Digital Object Identifier
doi:10.1155/2014/738318

Mathematical Reviews number (MathSciNet)
MR3186977

#### Citation

Xia, Jianwei. Delay-Dependent Robust Exponential Stability and ${H}_{\infty }$ Analysis for a Class of Uncertain Markovian Jumping System with Multiple Delays. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 738318, 10 pages. doi:10.1155/2014/738318. https://projecteuclid.org/euclid.aaa/1412605766

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