Robust stability of systems with delayed feedback. (English) Zbl 0801.93053

Verriest, Erik I.; Ivanov, Anatoli F.

Circuits Syst. Signal Process. 13, No. 2-3, 213-222 (1994).

Summary: 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). Application in the design of delayed feedback systems are given. Two approaches are presented, one based on Lyapunov theory, the other on a transformtion to Jordan form. In the former, sufficient conditions are obtained in the form of certain Riccati-type equations.

MSC:

93D09	Robust stability
93B52	Feedback control

Keywords:

differential delay systems; Riccati-type equations

References:

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