Journal of Applied Mathematics

Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay

Weihua Mao, Feiqi Deng, and Anhua Wan

Full-text: Open access

Abstract

This paper discusses the mean-square exponential stability of uncertain neutral linear stochastic systems with interval time-varying delays. A new augmented Lyapunov-Krasovskii functional (LKF) has been constructed to derive improved delay-dependent robust mean-square exponential stability criteria, which are forms of linear matrix inequalities (LMIs). By free-weight matrices method, the usual restriction that the stability conditions only bear slow-varying derivative of the delay is removed. Finally, numerical examples are provided to illustrate the effectiveness of the proposed method.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 593780, 22 pages.

Dates
First available in Project Euclid: 2 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.jam/1357153511

Digital Object Identifier
doi:10.1155/2012/593780

Mathematical Reviews number (MathSciNet)
MR2979453

Zentralblatt MATH identifier
1251.93097

Citation

Mao, Weihua; Deng, Feiqi; Wan, Anhua. Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay. J. Appl. Math. 2012 (2012), Article ID 593780, 22 pages. doi:10.1155/2012/593780. https://projecteuclid.org/euclid.jam/1357153511


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