A parametrization of the nonnegative definite solutions of the algebraic Riccati equation

DOI10.1016/S0005-1098(97)00193-3zbMath0916.93060MaRDI QIDQ1129641

Domenico D'Alessandro

Publication date: 12 July 1999

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

parametrizationalgebraic Riccati equationstabilizabilityprojectionclassification of solutionsrepresentation formulaslargest solutionnonnegative definite solutions

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Matrix equations and identities (15A24) Linear-quadratic optimal control problems (49N10) Model systems in control theory (93C99)

Related Items (1)

Intervals of solutions of the discrete-time algebraic Riccati equation

Cites Work

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• The solution set of the algebraic Riccati equation and the algebraic Riccati inequality
• A necessary and sufficient condition for solvability of the linear- quadratic control problem without stability
• Lattice properties of sets of semidefinite solutions of continuous-time algebraic Riccati equations
• Large finite horizon and infinite horizon lq-optimal control problems
• Criterion for the convergence of the solution of the Riccati differential equation
• Decomposition and Parametrization of Semidefinite Solutions of the Continuous-Time Algebraic Riccati Equation

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