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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

Asymptotic Hyperstability of Dynamic Systems with Point Delays

M. De la Sen

Abstract

It is proved that a linear time-invariant system with internal point delays is asymptotically hyperstable independent of the delays if an associate delay-free system is asymptotically hyperstable and the delayed dynamics are sufficiently small.

American Journal of Applied Sciences
Volume 2 No. 9, 2005, 1279-1282

DOI: https://doi.org/10.3844/ajassp.2005.1279.1282

Submitted On: 8 August 2005 Published On: 30 September 2005

How to Cite: De la Sen, M. (2005). Asymptotic Hyperstability of Dynamic Systems with Point Delays. American Journal of Applied Sciences, 2(9), 1279-1282. https://doi.org/10.3844/ajassp.2005.1279.1282

Open AccessCopyright: © 2005 M. De la Sen. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Hyperstability
  • positive realness
  • stability independent of the delays
  • time-delay systems