On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations

This paper addresses the problem of stability analysis of systems with delayed time-varying perturbations. Some sufficient conditions for a class of linear time-varying systems with nonlinear delayed perturbations are derived by using an improved Lyapunov-Krasovskii functional. The uniform global as...

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Published inMathematical problems in engineering Vol. 2015; no. 2015; pp. 1 - 12
Main Authors Hammami, Maher, de La Sen, Manuel, Hammami, Mohamed Ali
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 01.01.2015
John Wiley & Sons, Inc
Subjects
Asymptotic properties
Control systems
Convergence
Delay
Discrete time systems
Engineering
Mathematical analysis
Mathematical functions
Neighborhoods
Nonlinear systems
Nonlinearity
Origins
Perturbation
Perturbation methods
Stability
Stability analysis
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Summary:This paper addresses the problem of stability analysis of systems with delayed time-varying perturbations. Some sufficient conditions for a class of linear time-varying systems with nonlinear delayed perturbations are derived by using an improved Lyapunov-Krasovskii functional. The uniform global asymptotic stability of the solutions is obtained in terms of convergence toward a neighborhoodof the origin.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2015/641268