Lyapunov-Krasovskii functionals for scalar neutral type time delay equations

DOI10.1016/J.SYSCONLE.2008.07.004zbMath1154.93026OpenAlexW2018354709MaRDI QIDQ999826

Juan-Eduardo Velázquez-Velázquez, Vladimir L. Kharitonov

Publication date: 10 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.07.004

zbMATH Keywords

stabilityLyapunov-Krasovskii functionalstime delay systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Neutral functional-differential equations (34K40)

Related Items (14)

Lyapunov Functionals and Matrices for Neutral Type Time Delay Systems ⋮ Model reduction of time-delay systems using position balancing and delay Lyapunov equations ⋮ Lyapunov-Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form ⋮ New robustness bounds for neutral type delay systems via functionals with prescribed derivative ⋮ Vladimir Kharitonov: Achievements in research ⋮ Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type ⋮ Lyapunov functionals for linear neutral delay systems in the Hale's form ⋮ A panoramic sketch about the robust stability of time-delay systems and its applications ⋮ Necessary stability conditions for neutral-type systems with multiple commensurate delays ⋮ Lyapunov matrices approach to the parametric optimization of a neutral system with two delays ⋮ Stability of neutral type delay systems: a joint Lyapunov-Krasovskii and Razumikhin approach ⋮ Global stabilisation of nonlinear time-delay systems by partial-state feedback ⋮ Lyapunov matrices for neutral time-delay systems with exponential kernel ⋮ Converse Lyapunov–Krasovskii theorems for systems described by neutral functional differential equations in Hale's form

Cites Work

• Differential-difference equations
• Generalization of Liapunov's theorem in a linear delay system
• A Liapunov functional for a matrix difference-differential equation
• Introduction to functional differential equations
• Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
• Exponential estimates for neutral time-delay systems: an LMI approach
• Quadratic liapunov functionals for systems with delay
• Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case
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