Discussion on: “The Non-Uniform in Time Small-Gain Theorem for a Wide Class of Control Systems with Outputs”

European Journal of Control

Volume 10, Issue 4, 2004, Pages 324-325

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There are more references available in the full text version of this article.

Input-to-output stability for systems described by retarded functional differential equations
2008, European Journal of Control
In this work characterizations of external 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) Weighted 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.
Global output stability for systems described by retarded functional differential equations: Lyapunov characterizations
2008, European Journal of Control
In this work characterizations of internal notions of output stability for uncertain time-varying systems described by retarded functional differential equations are provided. Particularly, characterizations by means of Lyapunov functionals of uniform and non-uniform in time Robust Global Asymptotic 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.