Further results on exponential stability of linear continuous time difference systems

DOI10.1016/j.amc.2013.03.051zbMath1290.45007OpenAlexW2030293264MaRDI QIDQ2016357

Daniel Melchor-Aguilar

Publication date: 20 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.03.051

zbMATH Keywords

exponential stabilityLyapunov-Krasovskii functionalscontinuous time difference systems

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability theory for difference equations (39A30) Integro-ordinary differential equations (45J99)

Related Items (8)

Critical parameters for a class of integral difference equations ⋮ Complete type Lyapunov functionals for integral delay systems with multiple delays ⋮ About stability of difference equations with continuous time and fading stochastic perturbations ⋮ Stability analysis of linear continuous-time delay-difference systems with multiple time-delays ⋮ Behavior of solution of stochastic difference equation with continuous time under additive fading noise ⋮ On Lyapunov functionals for linear functional difference equations ⋮ Exponential stability of linear delay difference equations with continuous time ⋮ A note on stability of functional difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential stability of some linear continuous time difference systems
• On stability of integral delay systems
• Stability results for systems described by coupled retarded functional differential equations and functional difference equations
• Introduction to functional differential equations
• About Lyapunov functionals construction for difference equations with continuous time.
• Stability conditions for a class of neutral systems with multiple time delays
• Stability conditions for integral delay systems
• Stability in neutral equations
• The Liapunov's second method for continuous time difference equations
• A Delay Equation Representation of Pulse Circulation on a Ring in Excitable Media
• Additional dynamics for general class of time-delay systems

This page was built for publication: Further results on exponential stability of linear continuous time difference systems