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Formal specification of stability in hybrid control systems

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Hybrid Systems III (HS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1066))

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Abstract

The stability of a control system is of primary interest and always appears as a critical property in the performance specification. In this paper, we formalize the criteria of stability in hybrid systems and present a formal approach to design of a hybrid dynamic system while the sufficient condition for stability is enforced. The formalism adopted is the Extended Duration Calculus with infinite intervals EDC i.

This paper is supported in part by 863 Hi-Tech programme of China.

On leave from Department of Computer Science, Changsh a Institute of Technology, 410073, P.R. China.

On leave from Department of Automatic Control, Beijing University of Aero. & Astro., 100083, P.R. China.

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Rajeev Alur Thomas A. Henzinger Eduardo D. Sontag

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© 1996 Springer-Verlag Berlin Heidelberg

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Ji, W., Weidong, H. (1996). Formal specification of stability in hybrid control systems. In: Alur, R., Henzinger, T.A., Sontag, E.D. (eds) Hybrid Systems III. HS 1995. Lecture Notes in Computer Science, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0020954

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  • DOI: https://doi.org/10.1007/BFb0020954

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  • Print ISBN: 978-3-540-61155-4

  • Online ISBN: 978-3-540-68334-6

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