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Feasibility conditions for circle criterion designs. (English) Zbl 0974.93049
Summary: We derive necessary and sufficient conditions for the existence of a control law that renders the closed-loop system strictly positive real with respect to a disturbance input. The result is used to establish feasibility of recent nonlinear controller and observer designs based on the circle criterion.

MSC:
93D10 Popov-type stability of feedback systems
93C73 Perturbations in control/observation systems
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