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Multivariable singularly perturbed feedback systems with time delay. (English) Zbl 0628.93053
The paper deals with a singularly perturbed linear control system with time delays appearing in the feedback loop. The frequency domain technique is used to derive stability conditions for the closed-loop system. Two cases are considered: when the feedback depends on the small parameter that represents the singular perturbation and on the small time delay, and when the feedback is with a fixed large time delay. A Nyquist- type criterion is obtained in terms of the properties of the slow and the fast subsystems.
Reviewer: A.Dontchev

93D15 Stabilization of systems by feedback
34E15 Singular perturbations, general theory for ordinary differential equations
93C35 Multivariable systems, multidimensional control systems
34K35 Control problems for functional-differential equations
93C05 Linear systems in control theory
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