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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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