Eigenvalue bounds for the discrete Lyapunov matrix equation

DOI10.1109/TAC.1985.1104092zbMath0573.15010MaRDI QIDQ3691869

Michiyoshi Kuwahara, Norio Fukuma, Takehiro Mori

Publication date: 1985

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

zbMATH Keywords

eigenvalue boundsdiscrete time systemsdiscrete Lyapunov matrix equation

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)

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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 ⋮ Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation ⋮ Explicit direct solution of the Lyapunov matrix equation ⋮ Number of positive eigenvalues of the solution to the discrete Lyapunov matrix equation ⋮ Bounds for the solution of the Lyapunov matrix equation - a unified approach ⋮ Solution bounds of the continuous and discrete Lyapunov matrix equations ⋮ Matrix bounds of the solutions of the continuous and discrete Riccati equations--a unified approach ⋮ Recurrent neural networks for solving linear matrix equations

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