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New Delay-Dependent Stability Conditions for Time-Varying Delay Systems

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  • Wei Qian
  • Hamid Reza Karimi

Abstract

This paper addresses the delay-dependent stability for systems with time-varying delay. First, by taking multi-integral terms into consideration, new Lyapunov-Krasovskii functional is defined. Second, in order to reduce the computational complexity of the main results, reciprocally convex approach and some special transformations are introduced, and new delay-dependent stability criteria are proposed, which are less conservative and have less decision variables than some previous results. Finally, two well-known examples are given to illustrate the correctness and advantage of our theoretical results.

Suggested Citation

  • Wei Qian & Hamid Reza Karimi, 2013. "New Delay-Dependent Stability Conditions for Time-Varying Delay Systems," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-6, November.
    • Handle: RePEc:hin:jnlmpe:360924
    DOI: 10.1155/2013/360924
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