4.7 Article

Incremental stability of stochastic time-varying impulsive and switching systems

Journal

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
Volume 31, Issue 11, Pages 5460-5475

Publisher

WILEY
DOI: 10.1002/rnc.5548

Keywords

contraction theory; dwell time technique; impulsive and switching systems; incremental stability

Funding

  1. National Natural Science Foundation of China [62073200]
  2. National Research Foundation of Korea [2019R1A5A8080290]

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This article addresses the incremental stability problem for stochastic time-varying impulsive and switching systems, providing sufficient criteria to achieve practical incrementally globally asymptotic stability. The feasibility of these results is verified through a numerical example.
In this article, the incremental stability problem is addressed for stochastic time-varying impulsive and switching systems. Both cases of stable continuous subsystems with destabilizing impulses and unstable continuous subsystems with stabilizing impulses are fully considered. By resorting to contraction theory and the Lyapunov function approach together with the dwell time technique, sufficient criteria are established to achieve practical incrementally globally asymptotic stability. Finally, the feasibility of these results is verified by a numerical example.

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