A Representation of all Solutions of the Control Algebraic Riccati Equation for Infinite-Dimensional Systems
نویسندگان
چکیده
We obtain a representation of all self-adjoint solutions of the control algebraic Riccati equation associated to the infinite-dimensional state linear system Σ(A,B, C) under the following assumptions: A generates a C0-group, the system is output stabilizable, strongly detectable and the dual Riccati equation has an invertible selfadjoint nonnegative solution. ∗University of Groningen, Department of Mathematics and Computing Science, PO Box 800, 9700 AV Groningen, The Netherlands. Tel.: +31 (0)50 363 6496. Fax: +31 (0)50 3633800. Email: [email protected], [email protected] †University of Twente, Department of Applied Mathematics, Faculty of EEMCS, P.O. Box 217 7500 AE Enschede, The Netherlands. Tel.: +31 (0)53 489 3464. Fax: +31 (0)53 489 3800. Email: [email protected]
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