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Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay

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  • Hong-Bing Zeng
  • Gang Chen
  • Shen-Ping Xiao

Abstract

This paper deals with the absolute stability for a class of nonlinear singular systems with time delay. By employing a new Lyapunov-Krasovskii functional with the idea of partitioning delay length, improved delay-dependent stability criteria are established. The resulting condition is formulated in terms of linear matrix inequalities (LMIs), which is easy to be verified by exiting LMI optimization algorithms. A numerical example is given to show the effectiveness of the proposed technique and its improvements over the existing results.

Suggested Citation

  • Hong-Bing Zeng & Gang Chen & Shen-Ping Xiao, 2014. "Absolute Stability of a Class of Nonlinear Singular Systems with Time Delay," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
    • Handle: RePEc:hin:jnlaaa:927024
    DOI: 10.1155/2014/927024
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