A region-dependent gain condition for asymptotic stability

@article{Shiromoto2015ARG,
  title={A region-dependent gain condition for asymptotic stability},
  author={Humberto Stein Shiromoto and V. Andrieu and C. Prieur},
  journal={ArXiv},
  year={2015},
  volume={abs/1502.02851}
}
  • Humberto Stein Shiromoto, V. Andrieu, C. Prieur
  • Published 2015
  • Mathematics, Computer Science
  • ArXiv
  • A sufficient condition for the stability of a system resulting from the interconnection of dynamical systems is given by the small gain theorem. Roughly speaking, to apply this theorem, it is required that the gains composition is continuous, increasing and upper bounded by the identity function. In this work, an alternative sufficient condition is presented for the case in which this criterion fails due to either lack of continuity or the bound of the composed gain is larger than the identity… CONTINUE READING

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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 37 REFERENCES
    A dual to Lyapunov's stability theorem
    • 299
    • PDF
    Lyapunov-Based Small-Gain Theorems for Hybrid Systems
    • 82
    • PDF
    Small-gain theorem for ISS systems and applications
    • 1,182
    • PDF
    Smooth stabilization implies coprime factorization
    • 2,207
    • Highly Influential
    • PDF
    State-Dependent Scaling Problems and Stability of Interconnected iISS and ISS Systems
    • H. Ito
    • Mathematics, Computer Science
    • 2006
    • 165
    • PDF