Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations

Xiongping Dai

Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations

Dynamical Systems 2013-12-18 v2 Systems and Control Optimization and Control

Authors: Xiongping Dai

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Abstract

In this paper we show that if a linear cocycle is robustly periodical stable then it is uniformly stable.

Keywords

robust periodic stability uniform exponential stability Markovian jump linear systems random linear ordinary differential equations linear cocycle

Cite

@article{arxiv.1307.4209,
  title  = {Robust periodic stability implies uniform exponential stability of Markovian jump linear systems and random linear ordinary differential equations},
  author = {Xiongping Dai},
  journal= {arXiv preprint arXiv:1307.4209},
  year   = {2013}
}