Department of Mathematical Sciences
Rensselaer Polytechnic Institute, Troy, NY
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
after giving a brief introduction to the DVI, we focus on the LCS
results pertaining to the so-called Zeno states, establishing in
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).