具有平均停留时间的非线性切换系统几乎全局稳定的一个充分条件

F. Ilhan, Özkan Karabacak, R. Wisniewski
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引用次数: 1

摘要

得到了非线性切换系统在平均停留时间约束下几乎全局稳定的充分条件。这个条件是基于多个李雅普诺夫密度的存在性推导出来的,这些李雅普诺夫密度与子系统相关联,并且满足一些相容条件。得到了保证几乎全局稳定的平均停留时间的上界。
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A Sufficient Condition for the Almost Global Stability of Nonlinear Switched Systems with Average Dwell Time
A sufficient condition for the almost global stability of nonlinear switched systems under average dwell time restriction is obtained. This condition is derived leaning upon the existence of multiple Lyapunov densities, which are associated to subsystems and satisfy some compatibility conditions. An upper bound for the average dwell time that ensures almost global stability is obtained.
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