Bounds for the solution of the discrete algebraic Lyapunov equation

DOI10.1016/S0005-1098(97)00189-1zbMath0921.93019MaRDI QIDQ1129700

Michael K. Tippett

Publication date: 29 September 1999

Published in: Automatica (Search for Journal in Brave)

zbMATH Keywords

sensitivitysingular value decompositionboundsdiscrete algebraic matrix Lyapunov equations

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Discrete-time control/observation systems (93C55) Eigenvalue problems (93B60) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (2)

Extended Hamiltonian algorithm for the solution of discrete algebraic Lyapunov equations ⋮ A natural gradient descent algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance

Cites Work

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• Lower bounds for the solution of the discrete algebraic Lyapunov equation
• Upper and lower matrix bounds of the solution for the discrete Lyapunov equation
• Bounds in algebraic Riccati and Lyapunov equations: a survey and some new results
• Nonnormality and Jordan Condition Numbers of Matrices

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