New bound on the sensitivity of the solution of the Lyapunov equation

DOI10.1016/0024-3795(84)90070-3zbMath0549.15009OpenAlexW2022382733MaRDI QIDQ800448

Edmond A. Jonckheere

Publication date: 1984

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90070-3

zbMATH Keywords

Lyapunov equationstability matrixbound on the sensitivitydifferential perturbation

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)

Related Items (4)

Trace norm bounds for stable Lyapunov operators ⋮ Sylvester's equation: Accuracy and computational stability ⋮ Sensitivity analysis of the Lyapunov tensor equation ⋮ Stability robustness for linear state space models -- a Lyapunov mapping approach

Uses Software

• Algorithm 432

Cites Work

• Structural Stability for the Riccati Equation
• A Hessenberg-Schur method for the problem AX + XB= C
• A Schur method for solving algebraic Riccati equations
• Numerical Solution of the Stable, Non-negative Definite Lyapunov Equation Lyapunov Equation
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• ALGEBRAIC CHARACTERIZATION OF POLYNOMIALS WHOSE ZEROS LIE IN CERTAIN ALGEBRAIC DOMAINS
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