Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals
DOI10.1016/j.aml.2023.108654zbMath1520.93440OpenAlexW4324387293MaRDI QIDQ6167234
Publication date: 7 July 2023
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2023.108654
normexponential stabilityLyapunov-Krasovskii functionalexponential estimatemultiple delaysdegenerated functional
Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05) Stability theory for difference equations (39A30) Delay control/observation systems (93C43) Exponential stability (93D23)
Cites Work
- Stability and exponential stability of linear discrete systems with constant coefficients and single delay
- On delay-dependent stability for vector nonlinear stochastic delay-difference equations with Volterra diffusion term
- Exponential stability of linear discrete systems with constant coefficients and single delay
- Stability of functional differential equations
- Some novel necessary and sufficient conditions of exponential stability for discrete-time systems with multiple delays: a Lyapunov matrix approach
- Exponential stability of discrete-time systems with slowly time-varying delays
- Representation and stability of solutions for impulsive discrete delay systems with linear parts defined by non-permutable matrices
- On local stability of stochastic delay nonlinear discrete systems with state-dependent noise
- Razumikhin-type stability theorems for discrete delay systems
- New criteria for exponential stability of nonlinear difference systems with time-varying delay
- New stability and stabilization conditions for systems with time-delay
- Stability criteria for the linear system [Xdot(t) + A(t)X(t—τ) = 0 and an application to a non-linear system]
- Necessary and Sufficient Conditions of Exponential Stability for Delayed Linear Discrete-Time Systems
- Exponential stability results for variable delay difference equations
- Exponential ultimate boundedness of nonlinear stochastic difference systems with time-varying delays
This page was built for publication: Exponential stability of linear discrete systems with multiple delays by degenerated Lyapunov-Krasovskii functionals