On properties of Sylvester and Lyapunov operators

DOI10.1016/S0024-3795(00)00082-3zbMath0962.15006OpenAlexW2055241826WikidataQ126781255 ScholiaQ126781255MaRDI QIDQ1573658

Michael M.Konstantinov, Volker Mehrmann, Petko Hr. Petkov

Publication date: 1 June 2001

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(00)00082-3

zbMATH Keywords

Kronecker productsLyapunov equationslinear time-invariant systemsLyapunov operatorsLyapunov indicesSylvester operatorpseudo-linear matrix operatorssensitivity and error analysisSylvester indexsymmetric singular values

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Matrix equations and identities (15A24)

Related Items (10)

A Hill-Pick matrix criterion for the Lyapunov order ⋮ Stability, performance and sensitivity analysis of I.I.D. jump linear systems ⋮ Kronecker Product Approximation of Operators in Spectral Norm via Alternating SDP ⋮ Simplification of symbolic polynomials on non-commutative variables ⋮ On the spectral structure of Jordan-Kronecker products of symmetric and skew-symmetric matrices ⋮ Optimality properties of Galerkin and Petrov-Galerkin methods for linear matrix equations ⋮ Solution formulas for differential Sylvester and Lyapunov equations ⋮ Perturbation bounds for coupled matrix Riccati equations ⋮ Numerical solution and perturbation theory for generalized Lyapunov equations ⋮ Condition numbers of algebraic Riccati equations in the Frobenius norm

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