Riccati equation for infinite-dimensional discrete bilinear systems |
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| Authors: | COSTA O L V; KUBRUSLY C S |
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| Institution: |
University of Sào Paulo, Department of Electronic Engineering 05508-900, Sào Paulo, SP, Brazil
Catholic University PUC/RJ, and National Laboratory for Scientific Computation LNCC Rio de Janeiro, RJ, Brazil
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| Abstract: | The problem of quadratic optimal feedback control for infinite-dimensionaldiscrete bilinear systems is associated with an algebraic Riccati-likeoperator equation. The existence and uniqueness of a nonnegativesolution to such a Riccati-like operator equation is establishedas the strong limit of a sequence of solutions to Lyapunov-likeoperator equations.
 This research was supported in part by CNPq (Brazilian NationalResearch Council) and FAPESP (Research Council of the Stateof sào Paulo). |
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