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Optimal quadratic guaranteed cost control of a class of uncertain time-delay systems. (English) Zbl 0873.49024
Summary: The design of robust state feedback controllers for a class of uncertain linear time-delay systems with norm-bounded uncertainty is presented. The state feedback results extend previous results on quadratic guaranteed cost control to the case of uncertain time-delay systems. This is done by the authors’ definition of quadratic stability for uncertain time-delay systems with norm bounded uncertainty. It is shown that the state feedback controller can be constructed via the solution of a parameter dependent Riccati equation.

MSC:
49N10 Linear-quadratic optimal control problems
93B52 Feedback control
93D15 Stabilization of systems by feedback
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