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Almost global stability of nonlinear switched systems with mode-dependent and edge-dependent average dwell time
Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2021-05-06 , DOI: 10.1016/j.nahs.2021.101052
Ayşegül Kıvılcım , Özkan Karabacak , Rafael Wisniewski

It has recently been shown that almost global stability of nonlinear switched systems can be characterized using multiple Lyapunov densities. This has been accomplished for switched systems subject to a minimum dwell time or an average dwell time constraint. In this paper, as an extension of the aforementioned results, we provide a sufficient condition on mode-dependent and edge-dependent average dwell time to ensure almost global stability of a nonlinear switched system. The relations between average dwell time, mode-dependent, and edge-dependent average dwell time have been discussed. The obtained results for nonlinear switched systems imply the existing results for linear switched systems.



中文翻译:

具有与模式有关和与边缘有关的平均停留时间的非线性切换系统的几乎全局稳定性

最近显示,可以使用多个Lyapunov密度来表征非线性切换系统的几乎全局稳定性。对于受最小停留时间或平均停留时间约束的交换系统而言,这已经完成。在本文中,作为上述结果的扩展,我们为依赖于模式和依赖于边缘的平均停留时间提供了充分的条件,以确保非线性切换系统的几乎全局稳定性。讨论了平均停留时间,与模式有关和与边缘有关的平均停留时间之间的关系。非线性开关系统的所得结果暗示了线性开关系统的现有结果。

更新日期:2021-05-07
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