Intervals of solutions of the discrete-time algebraic Riccati equation

DOI10.1016/S0167-6911(98)00093-0zbMath0913.93045MaRDI QIDQ1285496

Harald K. Wimmer

Publication date: 28 April 1999

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

discrete-time algebraic Riccati equationgeometric theoryintervals of solutionsparametrization by invariant subspaces

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Geometric methods (93B27) Matrix equations and identities (15A24) Linear-quadratic optimal control problems (49N10)

Cites Work

• A parametrization of the nonnegative definite solutions of the algebraic Riccati equation
• Linear Quadratic Problems with Indefinite Cost for Discrete Time Systems
• Decomposition and Parametrization of Semidefinite Solutions of the Continuous-Time Algebraic Riccati Equation
• Matrix quadratic equations
• The set of positive semidefinite solutions of the algebraic Riccati equation of discrete-time optimal control
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