Non-zenoness of a class of differential quasi-variational inequalities
type: Item
instance of: scholarly article
title: Non-zenoness of a class of differential quasi-variational inequalities
zbMATH Open document ID: 1188.34011
author: Lanshan Han
author: Jong-Shi Pang
published in: Mathematical Programming. Series A. Series B
publication date: 2010-02-19T00:00:00Z
review text: The authors consider properties of an autonomous differential quasi-variational inequality involving an ordinary differential equation and complementarity conditions. Extending the results from the differential non-linear complementarity systems obtained in the paper by \textit{J.-S.~Pang} and \textit{J.~Shen} [IEEE Trans. Autom. Contr., 52, 242-255 (2007)], they prove that the trajectory index sets corresponding to the complementarity conditions and active/inactive constraints in the quasi-variational inequality are fixed in the two time subintervals \([t_0-\varepsilon, t_0)\) and \((t_0, t_0+\varepsilon]\), which is treated as non Zeno property. Also, the analyticity of the trajectory in the two open subintervals is established. The results require certain regularity conditions. Their application to a frictional contact problem is also described.
reviewed by: Igor V. Konnov
Mathematics Subject Classification ID: 34A40
Mathematics Subject Classification ID: 90C33
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 5673347
zbMATH Keywords: dynamical systems
zbMATH Keywords: differential quasi-variational inequalities
zbMATH Keywords: complementarity conditions
zbMATH Keywords: non Zeno property
zbMATH Keywords: frictional contact problem
describes a project that uses: Meschach
MaRDI profile type: Publication
full work available at URL: s10107-008-0230-0
OpenAlex ID: W1978275886
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DOI: 10.1007/S10107-008-0230-0
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description: scientific article; zbMATH DE number 5673347