A new upper bound for the eigenvalues of the continuous algebraic Riccati equation

DOI10.13001/1081-3810.1376zbMath1207.15015OpenAlexW1574976321MaRDI QIDQ3075143

Yu Liu, Juan Zhang, Jianzhou Liu

Publication date: 10 February 2011

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232960

zbMATH Keywords

numerical exampleeigenvaluealgebraic Riccati equationtrace inequalitymajorization inequality

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (8)

Improved upper bounds for the solution of the continuous algebraic Riccati matrix equation ⋮ On an upper bound for the eigenvalues of the solution of the continuous algebraic Riccati equation ⋮ New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation ⋮ Upper and lower eigenvalue summation bounds of the Lyapunov matrix differential equation and the application in a class time-varying nonlinear system ⋮ Decay rate estimations for linear quadratic optimal regulators ⋮ Lower Eigenvalue Bounds on Summation for the Solution of the Lyapunov Matrix Differential Equation ⋮ New Upper and Lower Eigenvalue Bounds for the Solution of the Continuous Algebraic <scp>R</scp>iccati Equation ⋮ The eigenvalue product bounds of the Lyapunov matrix differential equation and the stability of a class of time-varying nonlinear system

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