Isolated semidefinite solutions of the continuous-time algebraic Riccati equation

DOI10.1007/BF01299970zbMath0826.15010MaRDI QIDQ1892626

Harald K. Wimmer

Publication date: 3 December 1995

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

eigenvaluecontinuous-time algebraic Riccati equationisolated solutionsnegative- semidefinite solutionsobservable matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Model systems in control theory (93C99)

Related Items (3)

Nonnegative solutions of algebraic Riccati equations ⋮ Isolated nonnegative solutions of infinite-dimensional algebraic Riccati equations ⋮ Asymmetric algebraic Riccati equation: A homeomorphic parametrization of the set of solutions

Cites Work

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• Stability of invariant maximal semidefinite subspaces. II. Applications: Self-adjoint rational matrix functions, algebraic Riccati equations
• 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
• Computable Bounds for the Sensitivity of the Algebraic Riccati Equation
• Decomposition and Parametrization of Semidefinite Solutions of the Continuous-Time Algebraic Riccati Equation

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