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Feedback control for discrete descriptor systems

Kurina G.A.

Systems Science

2002

Vol. 28, nr 2

29-40

The control in the feedback form and the optimal cost are obtained for four linear-quadratic control problems by discrete descriptor systems in a Hilbert space. Special solutions of the implicit operator Riccati equations used here act in all state space and in general case they are not nonnegative definite, unlike the operators in the subspace and the nonnegative definite solutions. The examples show that the operator Riccati equations considered have no nonnegative definite solutions though the corresponding optimal control problems have the unique solutions.