Improved bounds for the eigenvalues of solutions of Lyapunov equations

DOI10.1109/TAC.1987.1104699zbMath0617.15013OpenAlexW2143356130MaRDI QIDQ4726401

Inge Troch

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.1987.1104699

zbMATH Keywords

lower and upper boundsbounds for the eigenvaluesmatrix Lyapunov equations

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 (10)

A unified approach of the measurement of solution bounds of the continuous and discrete algebraic Lyapunov equations ⋮ Upper and lower matrix bounds of the solutions for the continuous and discrete Lyapunov equations ⋮ Differential and difference Lyapunov equations: simultaneous eigenvalue bounds ⋮ Matrix solution bounds of the continuous Lyapunov equation by using a bilinear transformation ⋮ Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results ⋮ Bounds for the solution of the Lyapunov matrix equation - a unified approach ⋮ Error bound for transfer function order reduction using frequency weighted balanced truncation ⋮ Solution bounds of the continuous and discrete Lyapunov matrix equations ⋮ Matrix bounds of the discrete ARE solution ⋮ Recurrent neural networks for solving linear matrix equations

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