Optimal Control on the Doubly Infinite Time Axis for Well-Posed Linear Systems
DOI10.1137/18M1181304zbMath1420.49035OpenAlexW2949127337MaRDI QIDQ5232212
Olof J. Staffans, Mark R. Opmeer
Publication date: 30 August 2019
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1181304
state feedbackRiccati equationcoprime factorizationinfinite-dimensional systemlinear quadratic optimal controlinput-output stabilization
Stabilization of systems by feedback (93D15) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) 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) Control/observation systems in abstract spaces (93C25) 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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