On spectral decompositions of solutions to discrete Lyapunov equations

DOI10.1134/S1064562416030133zbMath1352.15020OpenAlexW2474473197MaRDI QIDQ334444

I. B. Yadykin

Publication date: 1 November 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562416030133

zbMATH Keywords

eigenvaluesspectral decompositionbilinear quadratic formsdiscrete Lyapunov matrix algebraic equationsFaddeev matricesstochastic discrete dynamic system

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Quadratic and bilinear forms, inner products (15A63)

Related Items (3)

Spectral decompositions for the solutions of Sylvester, Lyapunov, and Krein equations ⋮ A comparison of sub-Gramian analysis with eigenvalue analysis for stability estimation of large dynamical systems ⋮ Integral solution of linear multi-term matrix equation and its spectral decompositions

Cites Work

• Analysis and synthesis of modally balanced systems
• Analysis of hybrid systems' dynamics using the common Lyapunov functions and multiple homomorphisms
• Computational methods of linear algebra
• Superstable linear control systems. II: Design
• A Hessenberg-Schur method for the problem AX + XB= C
• Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
• Approximation of Large-Scale Dynamical Systems
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