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Simple stability criteria for systems with time-varying delays. (English) Zbl 1073.93047

Single-input-single-output systems are considered. The control system is perturbed by the delay. It is assumed that the closed-loop system is stable for zero delay. Stability criteria for continuous-time, discrete-time and mixed cases are obtained based on some gain theorem.

MSC:

93D15 Stabilization of systems by feedback
93D09 Robust stability
93C23 Control/observation systems governed by functional-differential equations
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