Solution of the Lyapunov matrix differential equations by the frequency method

DOI10.1134/S1064230716050063zbMath1384.93111MaRDI QIDQ1743191

D. E. Kataev, I. B. Yadykin

Publication date: 13 April 2018

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesLyapunov matrix differential equationsFaddeev's matricesfinite and infinite Gramiansfrequency method

Mathematics Subject Classification ID

Frequency-response methods in control theory (93C80) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Eigenvalue problems (93B60) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On properties of gramians of continuous control systems
• Time-delay systems. Lyapunov functionals and matrices
• Matrix sign function in the problems of analysis and design of the linear systems
• Superstable linear control systems. II: Design
• 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
• On the damping of a ladder-type vibration system subjected to uncertain perturbations
• Stability analysis of large‐scale dynamical systems by sub‐Gramian approach
• Approximation of Large-Scale Dynamical Systems
• THE EVALUATION OF INTEGRALS OF PRODUCTS OF LINEAR SYSTEM RESPONSES

This page was built for publication: Solution of the Lyapunov matrix differential equations by the frequency method