Construction of strict Lyapunov-Krasovskii functionals for time-varying time-delay systems
From MaRDI portal
Publication:2280858
DOI10.1016/j.automatica.2019.05.058zbMath1429.93318OpenAlexW2952471514WikidataQ127657829 ScholiaQ127657829MaRDI QIDQ2280858
Publication date: 19 December 2019
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2019.05.058
time-varying systemstime-delay systemsinput-to-state stabilityLyapunov-Krasovskii functionalsLyapunov differential equations
Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Input-output approaches in control theory (93D25) Delay control/observation systems (93C43)
Related Items (12)
Stability and observer designs using new variants of Halanay's inequality ⋮ Finite-time stabilization of linear systems by bounded linear time-varying feedback ⋮ Stability of stochastic functional differential equations with random switching and applications ⋮ Lyapunov differential equations and inequalities for stability and stabilization of linear time-varying systems ⋮ Exponential stability and boundedness of nonlinear perturbed systems by unbounded perturbation terms ⋮ Stability of time‐varying systems with delayed impulsive effects ⋮ Conditions of stability and guaranteed convergence rate for linear time-varying discrete-time delay systems ⋮ Further results on the construction of strict Lyapunov-Krasovskii functionals for time-varying time-delay systems ⋮ Design of resilient reliable control for uncertain periodic piecewise systems with time-varying delay and disturbances ⋮ Stability analysis by a nonlinear upper bound on the derivative of Lyapunov function ⋮ On construction of Lyapunov functions for scalar linear time-varying systems ⋮ Strict Lyapunov functions and feedback controls for SIR models with quarantine and vaccination
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On asymptotic stability of linear time-varying systems
- Razumikhin and Krasovskii stability theorems for time-varying time-delay systems
- A suboptimal feedback control for nonlinear time-varying systems with continuous inequality constraints
- Lyapunov-Krasovskiĭ functionals and application to input delay compensation for linear time-invariant systems
- Extensions of Razumikhin's theorem and Lyapunov-Krasovskii functional constructions for time-varying systems with delay
- Strict Lyapunov functions for time-varying systems with persistency of excitation
- Indefinite derivative Lyapunov-krasovskii functional method for input to state stability of nonlinear systems with time-delay
- \(p\)-Moment stability of stochastic differential equations with impulsive jump and Markovian switching
- Robustness of stability of time-varying linear systems
- Some criteria on \(p\)th moment stability of impulsive stochastic functional differential equations
- On input-to-state stability of systems with time-delay: a matrix inequalities approach
- Exponential stability of linear distributed parameter systems with time-varying delays
- Constructions of strict Lyapunov functions
- Improved Razumikhin and Krasovskii approaches for discrete-time time-varying time-delay systems
- A unified Razumikhin-type criterion on input-to-state stability of time-varying impulsive delayed systems
- Stabilizability of systems with exponential dichotomy
- Strict Lyapunov functions for time-varying systems
- Stabilization in spite of matched unmodeled dynamics and equivalent definition of input-to-state stability
- Input-to-state stability of nonlinear systems based on an indefinite Lyapunov function
- An alternative converse Lyapunov theorem for discrete-time systems
- Leader-follower consensus of time-varying nonlinear multi-agent systems
- On Liapounoff's conditions of stability
- Control for Itô Stochastic Systems With Input Delay
- Stability Analysis for Time-Varying Systems With Delay Using Linear Lyapunov Functionals and a Positive Systems Approach
- <inline-formula> <tex-math notation="TeX">$H^{\infty}$</tex-math></inline-formula> Controller Design for Preview and Delayed Systems
- Improved Razumikhin-Type Theorem for Input-To-State Stability of Nonlinear Time-Delay Systems
- A Chain Observer for Nonlinear Systems with Multiple Time-Varying Measurement Delays
- TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS
- Estimation and Feedback in Linear Time-Varying Systems: A Deterministic Theory
- A new asymptotic stability criterion for nonlinear time-variant differential equations
- A characterization of integral input-to-state stability
- On Asymptotic Stability of Discrete-Time Linear Time-Varying Systems
- Robust controller design for delay systems in the gap-metric
- The Problem of the Absolute Continuity for Lyapunov–Krasovskii Functionals
- Stability and Stabilization of Time-Delay Systems
- Some New Criteria on $p$th Moment Stability of Stochastic Functional Differential Equations With Markovian Switching
- Lyapunov Stability of Linear Predictor Feedback for Distributed Input Delays
- Lyapunov Functions for Persistently-Excited Cascaded Time-Varying Systems: Application to Consensus
- Computation of Lyapunov functions for nonlinear differential equations via a Massera-type construction
- Input-to-state stability for discrete-time nonlinear systems
This page was built for publication: Construction of strict Lyapunov-Krasovskii functionals for time-varying time-delay systems
