Stability of Continuous Time Difference Systems

We propose new sufficient conditions for the exponential stability of a class of nonlinear delay difference equations with continuous time (DECT). The above conditions provide a direct estimation of the exponential decay rate of the system. As applications, explicit sufficient conditions for the exponential stability of the zero solution of continuous difference equations with “maxima” are given.

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Publication Details

Journal
Abstract and Applied Analysis
Published
2025-01-01
DOI
https://doi.org/10.1155/aaa/7490937
Primary Topic
Stability and Control of Uncertain Systems
Type
article
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article

Stability of Continuous Time Difference Systems

Rigoberto Medina
Abstract and Applied Analysis
Stability and Control of Uncertain Systems
article

Stability of Continuous Time Difference Systems

Rigoberto Medina
article en

Abstract

We propose new sufficient conditions for the exponential stability of a class of nonlinear delay difference equations with continuous time (DECT). The above conditions provide a direct estimation of the exponential decay rate of the system. As applications, explicit sufficient conditions for the exponential stability of the zero solution of continuous difference equations with “maxima” are given.

Abstract and Applied AnalysisVol. 2025(1)
Universidad de Los Lagos (CL)
Openalex Percentile: Top 94%
Stability and Control of Uncertain Systems
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Stability of Continuous Time Difference Systems — Rigoberto Medina · Abstract and Applied Analysis (2025) | TGRS Research Map | TGRS