Departmental Papers (ESE)

Document Type

Conference Paper

Date of this Version

December 2001

Comments

Copyright 2001 IEEE. Reprinted from Proceedings of the 40th IEEE Conference on Decision and Control 2001, Volume 1, pages 352-357.

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Abstract

Abstraction is a natural way to hierarchically decompose the analysis and design of hybrid systems. Given a hybrid control system and some desired properties, one extracts an abstracted system while preserving the properties of interest. Abstractions of purely discrete systems is a mature area, whereas abstractions of continuous systems is a recent activity. In this paper we present a framework for abstraction that applies to abstract control systems capturing discrete, continuous, and hybrid systems. Parallel composition is presented in a categorical framework and an algorithm is proposed to construct abstractions of hybrid control systems. Finally, we show that our abstractions of hybrid systems are compositional.

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Date Posted: 04 August 2005