A note on stability of functional difference equations

DOI10.1016/j.automatica.2016.01.049zbMath1335.93113OpenAlexW2294582030MaRDI QIDQ259449

Daniel Melchor-Aguilar

Publication date: 11 March 2016

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2016.01.049

zbMATH Keywords

exponential stabilityfunctional difference equationslinear and nonlinear perturbations

Mathematics Subject Classification ID

Perturbations in control/observation systems (93C73) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (6)

Critical parameters for a class of integral difference equations ⋮ Complete type Lyapunov functionals for integral delay systems with multiple delays ⋮ New criteria for exponential stability of a class of nonlinear continuous-time difference systems with delays ⋮ Lyapunov functionals for linear continuous-time difference systems: a single delay case ⋮ Stability and performance analysis of linear positive systems with delays using input–output methods ⋮ On Lyapunov functionals for linear functional difference equations

Cites Work

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• Exponential stability of some linear continuous time difference systems
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• Delay compensation for nonlinear, adaptive, and PDE systems
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• About Lyapunov functionals construction for difference equations with continuous time.
• On quadratic Liapunov functionals for linear difference equations
• Further results on exponential stability of linear continuous time difference systems
• Direct and converse Lyapunov theorems for functional difference systems
• Exponential stability of linear continuous time difference systems with multiple delays
• Solution estimates for semilinear difference-delay equations with continuous time
• About an unsolved stability problem for a stochastic difference equation with continuous time
• Stability conditions for integral delay systems
• The Liapunov's second method for continuous time difference equations
• On the relation of delay equations to first-order hyperbolic partial differential equations

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