Lattice properties of sets of semidefinite solutions of continuous-time algebraic Riccati equations

DOI10.1016/0005-1098(94)00083-UzbMath0831.49030OpenAlexW2017076495WikidataQ127632663 ScholiaQ127632663MaRDI QIDQ1890975

Harald K. Wimmer

Publication date: 13 February 1996

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(94)00083-u

zbMATH Keywords

stabilizationalgebraic Riccati equationlinear-quadratic controllattice solutions

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Model systems in control theory (93C99)

Related Items (4)

Isolated semidefinite solutions of the continuous-time algebraic Riccati equation ⋮ The Algebraic Riccati Equation and Its Role in Indefinite Inner Product Spaces ⋮ Nonnegative solutions of algebraic Riccati equations ⋮ A parametrization of the nonnegative definite solutions of the 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
• The Riccati equation
• On nonnegative definite solutions to matrix quadratic equations
• Criterion for the convergence of the solution of the Riccati differential equation
• Existence of positive-definite and semidefinite solutions of discrete-time algebraic Riccati equations
• Decomposition and Parametrization of Semidefinite Solutions of the Continuous-Time Algebraic Riccati Equation

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