Structured stability radii and exponential stability tests for Volterra difference systems

DOI10.1016/j.camwa.2013.06.015zbMath1350.39009arXiv1210.3250OpenAlexW1964297083MaRDI QIDQ316382

Elena Braverman, Illya M. Karabash

Publication date: 27 September 2016

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

Full work available at URL: https://arxiv.org/abs/1210.3250

zbMATH Keywords

uniform exponential stabilityBanach spaceinfinite delayunbounded delaylinear difference equationsdiscrete Volterra equationsstructured perturbationsZ-transformdelayed feedbackdelayed outputequations of the convolution typeexponentially fading phase spacesuncertain feedback

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Popov-type stability of feedback systems (93D10) Discrete version of topics in analysis (39A12) Volterra integral equations (45D05) Stability theory for difference equations (39A30) Linear difference equations (39A06)

Related Items (4)

On Exponential Stability of Volterra Difference Equations with Infinite Delay ⋮ Input-output criteria for stability and expansiveness of dynamical systems ⋮ Strong exponential dichotomy of discrete nonautonomous systems: input-output criteria and strong dichotomy radius ⋮ On exponential stability of nonlinear Volterra difference equations in phase spaces

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