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New delay-interval stability condition

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  • Fernando Souza
  • Reinaldo Palhares

Abstract

The delay-dependent stability problem for systems with time-delay varying in an interval is addressed in this article. The new idea in this article is to connect two very efficient approaches: the discretised Lyapunov functional for systems with pointwise delay and the convex analysis for systems with time-varying delay. The proposed method is able to check the stability interval when the time-varying delay d(t) belongs to an interval [r, τ]. The case of unstable delayed systems for r = 0 is also treatable. The resulting criterion, expressed in terms of a convex optimisation problem, outperforms the existing ones in the literature, as illustrated by the numerical examples.

Suggested Citation

  • Fernando Souza & Reinaldo Palhares, 2014. "New delay-interval stability condition," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(3), pages 300-306.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:3:p:300-306
    DOI: 10.1080/00207721.2012.720297
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