A matrix inequality associated with bounds on solutions of algebraic Riccati and Lyapunov equations

DOI10.1109/TAC.1987.1104700zbMath0617.15012OpenAlexW2094772386MaRDI QIDQ4726400

Joan M. Saniuk, Ian B. Rhodes

Publication date: 1987

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1987.1104700

zbMATH Keywords

Lyapunov equationsbounds on the eigenvaluesnew proofalgebraic matrix Riccati equationsbounds on the spectral norm

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)

Related Items (9)

Towards a link between the factorization approach and MIMO robust adaptive control ⋮ Matrix bounds for the solution of the continuous algebraic Riccati equation ⋮ New solution bounds for the continuous algebraic Riccati equation ⋮ New estimates of upper bounds for the solutions of the continuous algebraic Riccati equation and the redundant control inputs problems ⋮ Bounds for the eigenvalues of the continuous algebraic Riccati equation ⋮ Trace inequalities for matrix products and trace bounds for the solution of the algebraic Riccati equations ⋮ Iterative computational approach to the solution of the Hamilton-Jacobi-Bellman-Isaacs equation in nonlinear optimal control ⋮ Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier-Stokes equations ⋮ New trace bounds for the product of two matrices and their applications in the algebraic Riccati equation

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