On the uniqueness of Lyapunov matrices for a time-delay system

DOI10.1016/J.SYSCONLE.2011.12.001zbMath1250.93113OpenAlexW1986686185MaRDI QIDQ450779

Vladimir L. Kharitonov

Publication date: 14 September 2012

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.12.001

zbMATH Keywords

time delay systemsLyapunov matrices

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (7)

Design of fractional-order hyperchaotic systems with maximum number of positive lyapunov exponents and their antisynchronisation using adaptive control ⋮ Vladimir Kharitonov: Achievements in research ⋮ Lyapunov matrices for a class of time-delay systems with piecewise-constant kernel ⋮ Lyapunov matrices approach to the parametric optimization of a neutral system with two delays ⋮ Lyapunov matrices approach to the parametric optimization of a neutral system ⋮ Lyapunov Matrices Approach to the Parametric Optimization of a System with Two Delays ⋮ The parametric optimization of a system with two delays and a PI controller

Cites Work

• Generalization of Liapunov's theorem in a linear delay system
• A Liapunov functional for a matrix difference-differential equation
• Lyapunov matrices for time-delay systems
• Quadratic liapunov functionals for systems with delay
• Unnamed Item

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