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An implementation of hybrid specification with discrete event controllers -2D system theoretic approach in a behavioral framework-

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2 Author(s)
Kaneko, O. ; Grad. Sch. of Eng. Sci., Osaka Univ., Toyonaka ; Yamamoto, S.

In this paper, we consider an implementability of hybrid dynamical systems in a behavioral framework. Here, we regard hybrid dynamical systems as a class of systems whose dynamics evolve with two different types of independent variables, one is a ldquotimerdquo with which a solution of differential or difference equations evolve, other is ldquothe event timerdquo or ldquodiscrete state indexrdquo corresponding to the occurrence of a discrete event or a switching time between one and another states. Such a stand point enables us to see that a hybrid system is viewed as a 2-dimensional (which is abbreviated to as 2D) dynamical system. In this new setting, we provide a necessary and sufficient condition of the existence of a event-driven controller for a given hybrid specification to be controlled.

Published in:

SICE Annual Conference, 2008

Date of Conference:

20-22 Aug. 2008

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