Bounds for the eigenvalues of the solution matrix of the algebraic Riccati equation

DOI10.1080/00207728508926715zbMath0576.15010OpenAlexW2020247958MaRDI QIDQ3697165

Engin Yaz

Publication date: 1985

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728508926715

zbMATH Keywords

algebraic Riccati equationnumerical exampleseigenvaluesboundsextreme eigenvalueslower-half eigenvalues

Mathematics Subject Classification ID

Pole and zero placement problems (93B55) Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (1)

New lower solution bounds of the continuous algebraic Riccati matrix equation

Cites Work

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• Extreme properties of eigenvalues of a hermitian transformation and singular values of the sum and product of linear transformations
• A lower bound for the solution of the algebraic Riccati equation of optimal control and a geometric convergence rate for the Kleinman algorithm
• Lower bounds on the solution of Lyapunov matrix and algebraic Riccati equations
• A note on the algebraic matrix Riccati equation
• Robustness of linear quadratic state feedback designs in the presence of system uncertainty
• On norm bounds for algebraic Riccati and Lyapunov equations
• Upper and lower bounds on the solution of the algebraic Riccati equation
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators

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