Journal of Applied Mathematics

Stability Analysis and Robust H Control of Switched Stochastic Systems with Time-Varying Delay

Zhengrong Xiang and Guoxin Chen

Full-text: Open access

Abstract

The problems of mean-square exponential stability and robust H control of switched stochastic systems with time-varying delay are investigated in this paper. Based on the average dwell time method and Gronwall-Bellman inequality, a new mean-square exponential stability criterion of such system is derived in terms of linear matrix inequalities (LMIs). Then, H performance is studied and robust H controller is designed. Finally, a numerical example is given to illustrate the effectiveness of the proposed approach.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 202916, 17 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495135

Digital Object Identifier
doi:10.1155/2012/202916

Mathematical Reviews number (MathSciNet)
MR2923362

Zentralblatt MATH identifier
1243.93030

Citation

Xiang, Zhengrong; Chen, Guoxin. Stability Analysis and Robust ${H}_{\infty }$ Control of Switched Stochastic Systems with Time-Varying Delay. J. Appl. Math. 2012 (2012), Article ID 202916, 17 pages. doi:10.1155/2012/202916. https://projecteuclid.org/euclid.jam/1355495135


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