Robust stability of systems with delayed feedback

Erik I. Verliest, Anatoli Ivanov

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

Some issues in the stability of differential delay systems in the linear and the nonlinear case are investigated. In particular, sufficient robustness conditions are derived under which a system remains stable, independent of the length of the delay(s). Applications in the design of delayed feedback systems are given. Two approaches are presented, one based on Lyapunov theory, the other on a transformation to Jordan form. In the former, sufficient conditions are obtained in the form of certain Riccati-type equations.

Original languageEnglish (US)
Pages (from-to)213-222
Number of pages10
JournalCircuits, Systems, and Signal Processing
Volume13
Issue number2-3
DOIs
StatePublished - Jun 1 1994

Fingerprint

Jordan Form
Delay-differential Systems
Lyapunov Theory
Delayed Feedback
Feedback Systems
Robust Stability
Sufficient
Robustness
Feedback
Sufficient Conditions
Design
Form
Robust stability

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Applied Mathematics

Cite this

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Robust stability of systems with delayed feedback. / Verliest, Erik I.; Ivanov, Anatoli.

In: Circuits, Systems, and Signal Processing, Vol. 13, No. 2-3, 01.06.1994, p. 213-222.

Research output: Contribution to journalArticle

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