On the methods for calculation of Gramians and their use in analysis of linear dynamic systems

DOI10.1134/S0005117913020045zbMath1269.93063MaRDI QIDQ2392437

I. B. Yadykin, A. A. Galyaev

Publication date: 1 August 2013

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

zbMATH Keywords

Faddeev matricesalgebraic Lyapunov equationsalgebraic Sylvester equationsindividual matrix eigenvaluelinear matrix algebraic equation

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (6)

On the solution of generalized Lyapunov equations for a class of continuous bilinear time-varying systems ⋮ On computational methods for Gramians of continuous dynamic systems ⋮ Spectral decompositions of Gramians and energy metrics of continuous unstable control systems ⋮ Solution of the Lyapunov matrix differential equations by the frequency method ⋮ Energy approach to stability analysis of the linear stationary dynamic systems ⋮ Limit graphs in structural optimization of modes in distribution networks

Cites Work

• On properties of gramians of continuous control systems
• A Faddeev sequence method for solving Lyapunov and Sylvester equations
• A two-variable approach to solve the polynomial Lyapunov equation
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