Infinite horizon optimal control and stabilizability for linear descriptor systems
نویسندگان
چکیده
In this paper we construct an infinite horizon LQ optimal controller for a linear stationary differential-algebraic equation (DAE) and prove that stabilizability from the given initial state is necessary and sufficient for the controller existence. We also solve the problem of finite horizon LQ optimal control. Our approach is based on ideas from linear geometric control theory that allows one to represent solutions of DAEs as outputs of LTI system. It is applicable for generic DAEs without imposing additional regularity assumptions.
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