Converse Lyapunov–Krasovskii theorems for systems described by neutral functional differential equations in Hale's form
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Publication:2871704
DOI10.1080/00207179.2012.723137zbMath1278.93219arXiv1206.3504OpenAlexW1972257629MaRDI QIDQ2871704
Iasson Karafyllis, Pierdomenico Pepe
Publication date: 9 January 2014
Published in: International Journal of Control (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.3504
retarded functional differential equationconverse Lyapunov theoremLyapunov-Krasovskii functionalsneutral functional differential equation
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Cites Work
- Unnamed Item
- Global output stability for systems described by retarded functional differential equations: Lyapunov characterizations
- Input-to-output stability for systems described by retarded functional differential equations
- Exponential stability of some linear continuous time difference systems
- Stability and stabilization of nonlinear systems.
- Existence and stability of solutions of a delay-differential system
- A Lyapunov--Krasovskii methodology for ISS and iISS of time-delay systems
- On Lyapunov - Krasovskii functionals under Carathéodory conditions
- Discretized Lyapunov-Krasovskii functional for coupled differential-difference equations with multiple delay channels
- Stability problem of systems with multiple delay channels
- On the Lyapunov-Krasovskii methodology for the ISS of systems described by coupled delay differential and difference equations
- Lyapunov-Krasovskii functionals for scalar neutral type time delay equations
- Comments on integral variants of ISS
- On the stability in terms of two measures of perturbed neutral functional differential equations.
- Lyapunov-Krasovskii functional for uniform stability of coupled differential-functional equations
- Lyapunov theorems for systems described by retarded functional differential equations
- Stability of functional differential equations of neutral type
- Discretized LKF method for stability of coupled differential-difference equations with multiple discrete and distributed delays
- Necessary and sufficient Lyapunov-like conditions for robust nonlinear stabilization
- On the actuator disturbance attenuation for systems described by neutral equations
- Instability conditions for linear time delay systems: a Lyapunov matrix function approach
- A new Lyapunov–Krasovskii methodology for coupled delay differential and difference equations
- Lyapunov matrices for a class of neutral type time delay systems
- Stability of neutral-type functional differential equations
- Robust stability of neutral systems: a Lyapunov-Krasovskii constructive approach
- Smooth stabilization implies coprime factorization
- A Smooth Converse Lyapunov Theorem for Robust Stability
- Input-to-State Stability of Time-Delay Systems: A Link With Exponential Stability
- On the stability of coupled delay differential and continuous time difference equations
- A Lyapunov approach to incremental stability properties
- The Problem of the Absolute Continuity for Lyapunov–Krasovskii Functionals
- Lyapunov functionals and Lyapunov matrices for neutral type time delay systems: a single delay case
- Liapunov functions and stability in control theory
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