Stability Results for Systems Described by Retarded Functional Differential Equations

Details Stability Results for Systems Described by Retarded Functional Differential Equations Stability Results for Systems Described by Retarded Functional Differential Equations

2006-12-08

arxiv.org/abs/math/0612211v1

Mathematics

Optimization and Control

Submitted for possible publication to the Journal of Differential Equations

Scientific paper

In this work characterizations of notions of output stability for uncertain time-varying systems described by retarded functional differential equations are provided. Particularly, characterizations by means of Lyapunov and Razumikhin functions of uniform and non-uniform in time Robust Global Asymptotic Output Stability and Input-to-Output Stability are given. The results of this work have been developed for systems with outputs in abstract normed linear spaces in order to allow outputs with no delay, with discrete or distributed delay or functional outputs with memory.

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