On computational methods for Gramians of continuous dynamic systems

DOI10.1134/S1064562413030228zbMath1350.93060MaRDI QIDQ378187

A. A. Galyaev, I. B. Yadykin

Publication date: 11 November 2013

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

zbMATH Keywords

frequency-domain methodembedding methodcomputational methods for Gramianscontinuous dynamic systemsintegral of weighted products of matrix exponentialsLyapunov differential and algebraic equation

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Dynamical systems in control (37N35) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

Stability analysis of large‐scale dynamical systems by sub‐Gramian approach

Cites Work

• Computational methods of linear algebra
• Superstable linear control systems. II: Design
• A Faddeev sequence method for solving Lyapunov and Sylvester equations
• Synthesis of linear quadratic control laws on basis of linear matrix inequalities
• On the methods for calculation of Gramians and their use in analysis of linear dynamic systems

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