Article ID Journal Published Year Pages File Type
721965 IFAC Proceedings Volumes 2006 6 Pages PDF
Abstract

This paper investigates the concept of box invariance for classes of hybrid and switched systems. After motivating and defining the notion, we present a concise summary of results on its characterization for single-domain dynamical systems. The notion is then extended to the case of hybrid and switched systems. We provide sufficient conditions for a hybrid or switched system to be box invariant. Models of many real systems, especially those drawn from biology, have been found to be box invariant. This paper illustrates the concept using a pharmacodynamic model of blood glucose metabolism.

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Physical Sciences and Engineering Engineering Computational Mechanics
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