Spectral decompositions for the solutions of Sylvester, Lyapunov, and Krein equations

DOI10.1134/S1064562417010173zbMath1366.15012OpenAlexW2606537199MaRDI QIDQ2358612

I. B. Yadykin, Alexey Iskakov

Publication date: 15 June 2017

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

Full work available at URL: https://doi.org/10.1134/s1064562417010173

zbMATH Keywords

Lyapunov equationSylvester equationspectral decompositionsKrein matrix equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (5)

Spectral and modal methods for studying stability and control of electric power systems ⋮ Lyapunov modal analysis and participation factors applied to small-signal stability of power systems ⋮ 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 ⋮ Spectral decompositions for the solutions of Lyapunov equations for bilinear dynamical systems

Cites Work

• On spectral decompositions of solutions to discrete Lyapunov equations
• On properties of gramians of continuous control systems
• Analysis of hybrid systems' dynamics using the common Lyapunov functions and multiple homomorphisms
• A modified low-rank Smith method for large-scale Lyapunov equations
• Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
• Stability analysis of large‐scale dynamical systems by sub‐Gramian approach
• Approximation of Large-Scale Dynamical Systems
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