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Regulator problem for linear continuous-time delay systems with nonsymmetrical constrained control. (English) Zbl 0835.93048
The behavior of dynamic linear delay system under a memoryless feedback control law is under study. The control signal is assumed to be constrained by a nonsymmetrical polyhedral set. Necessary and sufficient conditions under which the polyhedral set remains positively invariant with asymptotically stable motions for the closed-loop system are given. Two examples illustrate the proposed technique of selecting constraints under which the positively invariant state space domain becomes the largest possible.

MSC:
93D15 Stabilization of systems by feedback
34K20 Stability theory of functional-differential equations
93C05 Linear systems in control theory
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