A Galois correspondence between sets of semidefinite solutions of continuous-time algebraic Riccati equations

DOI10.1016/0024-3795(94)90386-7zbMath0809.34016OpenAlexW2162607105MaRDI QIDQ1329965

Harald K. Wimmer

Publication date: 15 August 1994

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)90386-7

zbMATH Keywords

Riccati equationsGalois correspondencecomparison of solutions

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (2)

Generalized Riccati difference and differential equations ⋮ Yet another characterization of solutions of the algebraic Riccati equation

Cites Work

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• Monotonicity of maximal solutions of algebraic Riccati equations
• A necessary and sufficient condition for solvability of the linear- quadratic control problem without stability
• The time-invariant linear-quadratic optimal control problem
• On nonnegative definite solutions to matrix quadratic equations
• Decomposition and Parametrization of Semidefinite Solutions of the Continuous-Time Algebraic Riccati Equation

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