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Robust stability of systems with delayed feedback

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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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Authors and Affiliations

  1. School of Electrical Engineering, Georgia Institute of Technology, 30332, Atlanta, GA

    Erik I. Verliest

  2. Georgia Tech Lorraine, Metz, France

    Anatoli F. Ivanov

  3. Institute of Mathematics, Ukrainian Academy of Sciencies, Kiev, Ukraine

    Anatoli F. Ivanov

Authors
  1. Erik I. Verliest
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  2. Anatoli F. Ivanov
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Verliest, E.I., Ivanov, A.F. Robust stability of systems with delayed feedback. Circuits Systems and Signal Process 13, 213–222 (1994). https://doi.org/10.1007/BF01188107

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  • DOI: https://doi.org/10.1007/BF01188107

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