Non-Zenoness of a class of differential quasi-variational inequalities

• 成果类型: Article
• 署名作者: Han, Lanshan; Pang, Jong-Shi
• 署名单位: University of Illinois System; University of Illinois Urbana-Champaign
• 刊物名称: MATHEMATICAL PROGRAMMING
• ISSN/ISSBN: 0025-5610
• DOI: 10.1007/s10107-008-0230-0
• 发表日期: 2010
• 页码: 171-199
• 关键词: body contact problems; time-stepping method; multibody dynamics; friction; systems; CONVERGENCE; simulation

摘要

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.