New solution bounds for the continuous algebraic Riccati equation

DOI10.1016/j.jfranklin.2011.06.007zbMath1259.15021OpenAlexW2057921229MaRDI QIDQ658615

Juan Zhang, Yu Liu, Jianzhou Liu

Publication date: 13 January 2012

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2011.06.007

zbMATH Keywords

numerical examplescontinuous algebraic Riccati equationeigenvalue and singular value inequalitiessemi-definite solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (11)

Improved upper bounds for the solution of the continuous algebraic Riccati matrix equation ⋮ Iterative algorithms for \(X+A^{\mathrm T}X^{-1}A=I\) by using the hierarchical identification principle ⋮ Two new upper bounds of the solution for the continuous algebraic Riccati equation and their application ⋮ Convergence analysis of Newton method without inversion for solving discrete algebraic Riccati equations ⋮ New proof of the gradient-based iterative algorithm for the Sylvester conjugate matrix equation ⋮ New upper bounds on the solution matrix to the continuous algebraic Riccati matrix equation ⋮ A property of the eigenvalues of the symmetric positive definite matrix and the iterative algorithm for coupled Sylvester matrix equations ⋮ The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations ⋮ Iterative solutions of a set of matrix equations by using the hierarchical identification principle ⋮ New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems ⋮ Reduced-rank gradient-based algorithms for generalized coupled Sylvester matrix equations and its applications

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