A new Razumikhin theorem for delay difference equations

DOI10.1016/S0898-1221(98)80041-2zbMath0933.39011OpenAlexW2091814046MaRDI QIDQ1962905

Ming-Po Chen, Shunian Zhang

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(98)80041-2

zbMATH Keywords

stabilitydelay difference equationsLyapunov-Razumikhin functions

Mathematics Subject Classification ID

Related Items (14)

Discrete Razumikhin-type stability theorems for stochastic discrete-time delay systems ⋮ Improved Razumikhin and Krasovskii approaches for discrete-time time-varying time-delay systems ⋮ Razumikhin-type stability theorems for discrete delay systems ⋮ Input-to-state stability for discrete time-delay systems via the Razumikhin technique ⋮ Representation of networks and systems with delay: DDEs, DDFs, ODE-PDEs and PIEs ⋮ A high-gain adaptive observer for detecting Li-ion battery terminal voltage collapse ⋮ Stability of numerical solutions for the stochastic pantograph differential equations with variable step size ⋮ Razumikhin-type technique on stability of exact and numerical solutions for the nonlinear stochastic pantograph differential equations ⋮ Global exponential stability of delay difference equations with delayed impulses ⋮ Uniform asymptotic stability of impulsive discrete systems with time delay ⋮ Robust exponential stabilization for uncertain systems with state and control delay ⋮ Stability and guaranteed cost control of uncertain discrete delay systems ⋮ Invariant and attracting sets of Volterra difference equations with delays ⋮ Exponential stability in \(p\)-th mean of solutions, and of convergent Euler-type solutions, of stochastic delay differential equations

Cites Work

• Periodicity and stability of linear Volterra difference systems
• Asymptotic behavior of solutions of nonautonomous difference equations
• Global stability of a nonlinear Volterra difference system
• Convergence and uniform stability in a nonlinear delay difference system
• Stability of infinite delay difference systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new Razumikhin theorem for delay difference equations