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On the design of universal stabilizing continuous linear controllers for time-delay systems
Part II. Universal controller and main stability results
Volume 8, Issue 4 (1997), pp. 527–558
Manuel de la Sen   Ningsu Luo  

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https://doi.org/10.3233/INF-1997-8405
Pub. online: 1 January 1997      Type: Research Article     

Published
1 January 1997

Abstract

Part II deals with the design problem of generalized linear controllers for linear systems with after-effect so that the resulting closed-loop system is globally uniformly asymptotically stable in the Lyapunov's sense. The controllers are universal in the sense that they include the usual delays (namely, point, distributed and mixed point-distributed delays) which can be finite, infinite or even time-varying. The stability is formulated in terms of sufficient conditions depending, in general, on the system parameters and delays. It is shown that a stabilizing controller can be designed by using the well-known Kronecker product of matrices provided that a stabilizing controller exists in the absence of external (or, input) delay.

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Keywords
delay systems point delays distributed delays Lyapunov's stability stabilizing controllers

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INFORMATICA

  • Online ISSN: 1822-8844
  • Print ISSN: 0868-4952
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