English

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

Optimization and Control 2007-05-23 v1 Dynamical Systems

Abstract

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.

Keywords

Cite

@article{arxiv.math/0505353,
  title  = {Non-Uniform in Time Robust Global Asymptotic Output Stability for Discrete-Time Systems},
  author = {Iasson Karafyllis},
  journal= {arXiv preprint arXiv:math/0505353},
  year   = {2007}
}

Comments

Submitted to the International Journal of Robust and Nonlinear Control

R2 v1 2026-07-22T17:19:30.614Z