Families of Solutions of Matrix Riccati Differential Equations

DOI10.1137/S0363012994276330zbMath0867.34001OpenAlexW1983661166MaRDI QIDQ3128454

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Publication date: 11 August 1997

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012994276330

zbMATH Keywords

invariant subspacesgeometric characterizationasymmetric Riccati differential equationJ. C. Willems-Coppel-Shaymanprojection-preserving differential equation

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Linear-quadratic optimal control problems (49N10) Explicit solutions, first integrals of ordinary differential equations (34A05) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (7)

On the relation between additive and multiplicative decompositions of rational matrix functions ⋮ Non-blow-up conditions for Riccati-type matrix differential and difference equations ⋮ Geometric aspects of the Riccati difference equation in the nonsymmetric case ⋮ Asymmetric algebraic Riccati equation: A homeomorphic parametrization of the set of solutions ⋮ Invariant manifolds and projective combinations of solutions of the Riccati differential equation ⋮ Upper and lower bounds for the solution of the general matrix Riccati differential equation on a time scale ⋮ A survey of nonsymmetric Riccati equations

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