Robust stability of systems with delayed feedback

Erik I. Verliest; Anatoli F. Ivanov

doi:10.1007/BF01188107

Robust stability of systems with delayed feedback

Erik I. Verliest, Anatoli F. Ivanov

Penn State Wilkes-Barre

Research output: Contribution to journal › Article › peer-review

32 Scopus citations

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 language	English (US)
Pages (from-to)	213-222
Number of pages	10
Journal	Circuits, Systems, and Signal Processing
Volume	13
Issue number	2-3
DOIs	https://doi.org/10.1007/BF01188107
State	Published - Jun 1994

All Science Journal Classification (ASJC) codes

Signal Processing
Applied Mathematics

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10.1007/BF01188107

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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.",

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AB - 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.

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Robust stability of systems with delayed feedback

Abstract

All Science Journal Classification (ASJC) codes

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