Stability of infinite delay difference systems

DOI10.1016/0362-546X(94)90231-3zbMath0822.39002MaRDI QIDQ4302385

Shunian Zhang

Publication date: 15 August 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

uniform stabilityLyapunov functionalsinfinite delayuniform asymptotic stabilitydelay difference systemsRazumikhin techniques

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items

Unnamed Item, Asymptotic properties of the solutions for discrete Volterra equations, Boundedness of discrete Volterra equations, Stability analysis of delay difference systems, Boundedness of infinite delay difference systems, Hochschild cohomology of truncated basic cycle, A survey: stability and boundedness of Volterra difference equations, A new Razumikhin theorem for delay difference equations, Estimate of total stability of delay difference systems, Stability criteria for a class of linear delay partial difference equations, Exponential asymptotic stability of delay partial difference equations, New results on stability of discrete-time systems with infinite delays, Asymptotic behaviour of solutions of systems of discrete equations via Liapunov type technique, Asymptotic formulae for a particular solution of linear nonhomogeneous discrete equations, Stability of neutral delay difference systems, Discrete retract principle for systems of discrete equations, A quantitative study on the stability of quadratic delay difference systems, Limiting periodicity of the solutions for some volterra difference equations

Cites Work

• Unified boundedness, periodicity, and stability in ordinary and functional differential equations
• Unified stability theorem in RFDE and NFDE
• Razumikhin techniques in infinite delay equations
• Uniform Asymptotic Stability in Functional Differential Equations
• Unnamed Item
• Unnamed Item