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Stabilization of time-delay systems containing saturating actuators. (English) Zbl 0636.93063

Summary: The problem of the stabilization of time-delay systems containing saturating actuators is considered. Two kinds of feedback stabilizing laws are treated: state feedback and sampled-state feedback. Several sufficient conditions are derived to guarantee the stability of the saturating time-delay system under control. Each of these results, expressed by a scalar inequality, permits us to assess the transient behaviour of the controlled system. The results presented enable a practical consideration of the unavoidable saturation of the actuators and give an insight into the stabilization analysis of saturating time- delay systems.

MSC:

93D15 Stabilization of systems by feedback
34K35 Control problems for functional-differential equations
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C57 Sampled-data control/observation systems
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References:

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