Non-Zenoness of a class of differential quasi-variational inequalities
Non-Zenoness of a class of differential quasi-variational inequalities
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DOI：
10.1007/s10107-008-0230-0
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发表时间：
2010
影响因子：
2.7
通讯作者：
Lanshan Han;J. Pang
中科院分区：
文献类型：
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作者：
Lanshan Han;J. Pang
切换动力系统的芝诺现象是指在有限时间内无限多个模式切换。这种现象的存在是至关重要的数值模拟这样一个系统的时间步进方法和系统轨迹的行为的理解。推广了强正则微分变分不等式的一个结果，证明了一类非强正则微分变分不等式不存在Zeno现象.证明涉及许多补充结果是独立的利益。对于具有局部柔度和多边形摩擦定律的摩擦接触问题，这一非Zenoness结果具有重要意义，也是同类结果中的第一个。
The Zeno phenomenon of a switched dynamical system refers to the infinite number of mode switches in finite time. The absence of this phenomenon is crucial to the numerical simulation of such a system by time-stepping methods and to the understanding of the behavior of the system trajectory. Extending a previous result for a strongly regular differential variational inequality, this paper establishes that a certain class of non-strongly regular differential variational inequalities is devoid of the Zeno phenomenon. The proof involves many supplemental results that are of independent interest. Specialized to a frictional contact problem with local compliance and polygonal friction laws, this non-Zenoness result is of fundamental significance and the first of its kind.