McMaster University

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Janet Delsey
905-525-9140, ext. 24910



4th Annual McMaster Optimization Conference: Theory and Applications

July 28-30, 2004

    McMaster University, Hamilton, ON Canada

Linear Complementarity Systems

John-Shi Pang
Department of Mathematical Sciences
Rensselaer Polytechnic Institute, Troy, NY

Linear complementarity systems (LCSs) are dynamical
systems comprising a linear ordinary differential equation coupled
with a finite-dimensional linear complementarity problem. The LCS
is a special case of the more general dynamic variational inequality
(DVI) and plays a fundamental role in the study of the latter. In this talk,
after giving a brief introduction to the DVI, we focus on the LCS and present
results pertaining to the so-called Zeno states, establishing in particular
their absence in the case of a P-matrix sytem.

This talk contains joint work with Jinglai Shen (on LCSs) and David Stewart (on DVIs).

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