Optimal Feedback Control Proportional to the System State Can Be Found for Non-causal Descriptor Systems (a Remark on a Paper by P.c. Müller)
نویسنده
چکیده
There are many works devoted to the study of optimal control problems for systems with the state equation which is not solvable with respect to the derivative (Lewis, 1986; Mehrmann, 1991; Kurina, 1992). In the scientific literature, such systems are called descriptor, singular, implicit or differential-algebraic systems. Causality plays an important role in studying optimal control problems for descriptor systems. Causality and non-causality distinguish between the cases where the descriptor system is exclusively governed by the control input or additionally by its time-derivatives (Müller, 1998; Kostjukova, 2000).
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