Spectral decompositions for the solutions of Lyapunov equations for bilinear dynamical systems

DOI10.1134/S1064562419050259zbMath1440.93260OpenAlexW4235370277WikidataQ126798839 ScholiaQ126798839MaRDI QIDQ2304372

Yanyan Li

Publication date: 11 March 2020

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

Full work available at URL: https://doi.org/10.1134/s1064562419050259

zbMATH Keywords

observabilitycontrollabilitystability analysisstabilizationbilinear systemsspectral decompositionsstochastic linear systemsgeneralized Lyapunov equations

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Observability (93B07) Stochastic stability in control theory (93E15)

Related Items (2)

Spectral and modal methods for studying stability and control of electric power systems ⋮ On the solution of generalized Lyapunov equations for a class of continuous bilinear time-varying systems

Cites Work

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• Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems
• Direct methods and ADI‐preconditioned Krylov subspace methods for generalized Lyapunov equations
• An Overview of Bilinear System Theory and Applications
• Approximation of Large-Scale Dynamical Systems

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