Relaxed sufficient conditions for the stability of continuous and discrete-time linear time-varying systems

@article{Jetto2007RelaxedSC,
  title={Relaxed sufficient conditions for the stability of continuous and discrete-time linear time-varying systems},
  author={Leopoldo Jetto and Valentina Orsini},
  journal={2007 46th IEEE Conference on Decision and Control},
  year={2007},
  pages={6383-6387}
}
This paper states new sufficient conditions for the uniform asymptotic stability of linear time-varying (LTV) systems. The approach proposed derives and uses the notion of perturbed frozen time (PFT) form that can be associated to any LTV system. Exploiting the Bellman-Gronwall lemma, relaxed stability conditions are then stated in terms of "average" parameter variations. Numerical comparisons with other methods are reported. 

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