Article ID Journal Published Year Pages File Type
753352 Systems & Control Letters 2006 7 Pages PDF
Abstract

In this note, we prove the equivalence, under appropriate conditions, between several dynamical formalisms: projected dynamical systems, two types of differential inclusions, and a class of complementarity dynamical systems. Each of these dynamical systems can also be considered as a hybrid dynamical system. This work both generalizes previous results and sheds some new light on the relationship between known formalisms; besides, it exclusively uses tools from convex analysis.

Related Topics
Physical Sciences and Engineering Engineering Control and Systems Engineering
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