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 exp...

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Bibliographic Details
Published inAbstract and applied analysis Vol. 2025; no. 1
Main Author Medina, Rigoberto
Format Journal Article
LanguageEnglish
Published New York John Wiley & Sons, Inc 01.01.2025
Wiley
Subjects
Decay rate
Difference equations
Dynamical systems
Estimates
Inequality
Nonlinear equations
Stability
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1085-3375
1687-0409
DOI:10.1155/aaa/7490937