Stability Results for Systems Described by Coupled Retarded Functional Differential Equations and Functional Difference Equations

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dc.creatorKarafyllis, Iasson
dc.creatorPepe, Pierdomenico
dc.creatorJiang, Zhong-Ping
dc.date2007-03-06
dc.date.accessioned2026-07-07T07:50:27Z
dc.date.available2026-07-07T07:50:27Z
dc.descriptionIn this work stability results for systems described by coupled Retarded Functional Differential Equations (RFDEs) and Functional Difference Equations (FDEs) are presented. The results are based on the observation that the composite system can be regarded as the feedback interconnection of a subsystem described by RFDEs and a subsystem described by FDEs. Recent Small-Gain results and Lyapunov-like characterizations of the Weighted Input-to-Output Stability property for systems described by RFDEs and FDEs are employed. It is shown that the stability results provided in this work can be used to study stability for systems described by neutral functional differential equations and systems described by hyperbolic partial differential equations.
dc.description32 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0703163
dc.identifierhttp://arxiv.org/abs/math/0703163
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125170
dc.subjectDynamical Systems
dc.subjectOptimization and Control
dc.titleStability Results for Systems Described by Coupled Retarded Functional Differential Equations and Functional Difference Equations
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