On properties of gramians of continuous control systems

DOI10.1134/S0005117910060032zbMath1218.93023MaRDI QIDQ612067

I. B. Yadykin

Publication date: 3 January 2011

Published in: Automation and Remote Control (Search for Journal in Brave)

zbMATH Keywords

observabilitycontrollabilityFaddeev matricesdecomposition of resolvent

Mathematics Subject Classification ID

Controllability (93B05) Eigenvalue problems (93B60) Observability (93B07)

Related Items (11)

Spectral decompositions for the solutions of Sylvester, Lyapunov, and Krein equations ⋮ Spectral and modal methods for studying stability and control of electric power systems ⋮ On the methods for calculation of Gramians and their use in analysis of linear dynamic 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 ⋮ Optimal adaptive design of the prescribed-structure controllers ⋮ Solution of the Lyapunov matrix differential equations by the frequency method ⋮ Energy approach to stability analysis of the linear stationary dynamic systems ⋮ Stability analysis of large‐scale dynamical systems by sub‐Gramian approach ⋮ 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

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• \(H_{2}\)-optimal tuning algorithms for fixed structure controllers
• Functional controllability and tunability of coordinate-parametric control systems
• A Faddeev sequence method for solving Lyapunov and Sylvester equations
• Mathematical Description of Linear Dynamical Systems

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