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

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  • Maher Hammami
  • Mohamed Ali Hammami
  • Manuel De la Sen

Abstract

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 neighborhood of the origin.

Suggested Citation

  • Maher Hammami & Mohamed Ali Hammami & Manuel De la Sen, 2015. "On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-12, March.
    • Handle: RePEc:hin:jnlmpe:641268
    DOI: 10.1155/2015/641268
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