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Methodologies for the analysis of hybrid systems

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Hybrid systems (HS) are systems that combine intercommunication discrete and continuous components. Most embedded systems belong to this class since they operated and interact with a continuous environment, and are expected to provide real-time response to continuously varying situations.

The introduction of HS models is motivated by a real practical concern. With the decrease in the size and price of computing elements, more and more computers (discrete state-transition systems) are embedded within real-world control loops such as in avionics, process control, robotics and consumer product, to mention but a few application areas. The analysis and prediction of the combined behaviour of these embedded systems require theories, software development techniques and tools that cut across existing disciplinary boundaries. The real-world is usually modeled by control engineers as a continuous dynamic system while computer scientists investigate the dynamic of discrete systems.

This project aims to build models and analysis tools for systems having both discrete and continuous components. Continuous systems have been studied extensively by mathematicians and control engineers, while discrete systems are treated by computer scientists. The proliferation of computerised controllers (computers interacting with the real world) requires inter-disciplinary scientific foundations in order to support the design process of such hybrid systems.

The expected results of the project consist of a better understanding of the behaviour of hybrid systems in general and in particular, the behaviour of hybrid automats and of differential equations with measure. For hybrid automats, the border will be marked between the feasible and unfeasible in what concerns the automatic analysis of their properties. The control synthesis problem will also be investigated. For differential equations with measure, results will be obtained concerning the stability of their solutions under various conditions and suitable simulation software will be developed.

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Université Joseph Fourier Grenoble
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Rue Lavoisier, Miniparc Zirst
38330 Montbonnot Saint Martin
Frankreich

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Letzte Aktualisierung: 19 September 1996

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Permalink: https://cordis.europa.eu/project/id/INTAS-94-0697/de

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