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Stabilization criteria for continuous linear time-invariant systems with constant lags

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  • M. De La Sen

Abstract

Some criteria for asymptotic stability of linear andtime-invariant systems with constant point delays are derived.Such criteria are concerned with the properties of robuststability related to two relevant auxiliary delay-free systemswhich are built by deleting the delayed dynamics or consideringthat the delay is zero. Explicit asymptotic stability results,easy to test, are given for both the unforced and closed-loopsystems when the stabilizing controller for one of the auxiliarydelay-free systems is used for the current time-delay system. Theproposed techniques include frequency domain analysis techniquesincluding the use of H ∞ norms.

Suggested Citation

  • M. De La Sen, 2006. "Stabilization criteria for continuous linear time-invariant systems with constant lags," Discrete Dynamics in Nature and Society, Hindawi, vol. 2006, pages 1-19, June.
    • Handle: RePEc:hin:jnddns:087062
    DOI: 10.1155/DDNS/2006/87062
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