Abstract and Applied Analysis

Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay

Yali Dong, Shengwei Mei, and Xueli Wang

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Abstract

The problem of robust exponential stabilization for dynamical nonlinear systems with uncertainties and time-varying delay is considered in the paper. By constructing the proposed Lyapunov-Krasovskii functional approach, continuous state feedback controllers are put forward, and the criteria which guarantee the exponential stabilization of the nonlinear systems with uncertainties and time-varying delay are established in terms of solutions to the standard Riccati differential equations. Furthermore, based on the Lyapunov method and the linear matrix inequality approach, the sufficient conditions of exponential stability for a class of uncertain systems with time-varying delays and nonlinear perturbations are derived. Finally, two numerical examples are given to demonstrate the validity of the results.

Article information

Source
Abstr. Appl. Anal., Volume 2011 (2011), Article ID 969674, 16 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313171217

Digital Object Identifier
doi:10.1155/2011/969674

Mathematical Reviews number (MathSciNet)
MR2817275

Zentralblatt MATH identifier
1217.93154

Citation

Dong, Yali; Mei, Shengwei; Wang, Xueli. Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay. Abstr. Appl. Anal. 2011 (2011), Article ID 969674, 16 pages. doi:10.1155/2011/969674. https://projecteuclid.org/euclid.aaa/1313171217


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