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.

中文翻译：

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随机时变脉冲和开关系统的增量稳定性

在本文中，针对随机时变脉冲和切换系统解决了增量稳定性问题。充分考虑了具有不稳定脉冲的稳定连续子系统和具有稳定脉冲的不稳定连续子系统的情况。通过诉诸收缩理论和 Lyapunov 函数方法以及驻留时间技术，建立了足够的标准来实现实际增量全局渐近稳定性。最后通过数值算例验证了这些结果的可行性。