Non-Uniform in Time Robust Global Asymptotic Output Stability for Discrete-Time Systems

Details Non-Uniform in Time Robust Global Asymptotic Output Stability for Discrete-Time Systems Non-Uniform in Time Robust Global Asymptotic Output Stability for Discrete-Time Systems

2005-05-17

arxiv.org/abs/math/0505353v1

Mathematics

Optimization and Control

Submitted to the International Journal of Robust and Nonlinear Control

Scientific paper

In this paper the notions of non-uniform in time Robust Blobal Asymptotic Output Stability (RGAOS) and Input-to-Output Stability (IOS) for discrete-time systems are studied. Characterizations as well as links between these notions are provided. Particularly, it is shown that a discrete-time system with continuous dynamics satisfies the non-uniform in time IOS property if and only if the corresponding unforced system is non-uniformly in time RGAOS. Necessary and sufficient conditions for the solvability of the Robust Output Feedback Stabilization (ROFS) problem are also given.

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