Averaging Criteria for Asymptotic Stability of Time-Varying Systems

@article{Tsinias2014AveragingCF,
  title={Averaging Criteria for Asymptotic Stability of Time-Varying Systems},
  author={John Tsinias and Angeliki Stamati},
  journal={IEEE Transactions on Automatic Control},
  year={2014},
  volume={59},
  pages={1654-1659}
}
We establish averaging type sufficient conditions for local asymptotic stability for nonlinear time-varying systems. Our main result is based on an extension of the averaging methodology employed in a recent paper by Tsinias and Stamati (published in the same journal), dealing with asymptotic stability for “slow” time-varying systems.