Optimal state feedback input-output stabilization of infinite-dimensional discrete time-invariant linear systems

DOI10.1007/S11785-007-0035-9zbMath1185.49038OpenAlexW2126454762MaRDI QIDQ841664

Olof J. Staffans, Mark R. Opmeer

Publication date: 18 September 2009

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: http://opus.bath.ac.uk/13920/1/Opmeer_COP_2008_2_3_479.pdf

zbMATH Keywords

state feedbackHilbert spacesRiccati equationinfinite-dimensional systemdiscrete time optimal systemstabilization \(H^\infty\)-factorization

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Operator-theoretic methods (93B28) Linear-quadratic optimal control problems (49N10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) 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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