Optimal Input-Output Stabilization of Infinite-Dimensional Discrete Time-Invariant Linear Systems by Output Injection

DOI10.1137/090762233zbMath1216.47117OpenAlexW2042230770MaRDI QIDQ3083257

Mark R. Opmeer, Olof J. Staffans

Publication date: 21 March 2011

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/22890/1/Opmeer_SICON_2010_48_8_5084.pdf

zbMATH Keywords

Riccati equationoutput injectioninfinite-dimensional systemlinear quadratic optimal controlinput-output stabilisationleft factorisation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Operator-theoretic methods (93B28) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Dilations, extensions, compressions of linear operators (47A20) Equations involving linear operators, with operator unknowns (47A62) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48)

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