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Approximability and variational description of the Zeno behavior in affine switched systems

Azhmyakov, V and Miranda Villatoro, FA (2012) Approximability and variational description of the Zeno behavior in affine switched systems. In: UNSPECIFIED pp. 307-312..

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Abstract

This paper deals with a new theoretic description of a specific interaction of continuous and discrete dynamics in switched control systems known as a Zeno dynamics. We consider solutions to the closed loop realizations of control systems with affine structure that admit infinitely many discrete transitions on a finite time interval. Although the real-world processes do not present the corresponding behavior, mathematical models of some interconnected engineering systems may be Zeno due to the formal abstraction. In this paper we give a variational interpretation of the Zeno-like dynamics. A generic trajectory associated with this dynamics is finally specified as a result of a particular optimization procedure applied to the original model. The variational description of the Zeno effect provides an analytic basis for the constructive approximations techniques. We also study an intersection of a class of switched systems and the conventional sliding mode control processes. © 2012 IFAC.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 30 Oct 2017 20:09
Last Modified: 31 Oct 2019 03:17
DOI: 10.3182/20120606-3-NL-3011.00097