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Reach Set Computation Using Optimal Control

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Verification of Digital and Hybrid Systems

Part of the book series: NATO ASI Series ((NATO ASI F,volume 170))

Abstract

Reach set computation is a basic component of many verification and control synthesis procedures. Effective computation schemes are available for discrete Systems described by finite state machines and continuous-variable Systems described by linear differential inequalities. This paper suggests an approach based on the Pontryagin maximum principle of optimal control theory. The approach is elaborated for linear systems, and it may prove useful for more general continuous-variable systems

Research supported by the National Science Foundation Grant ECS9725148

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References

  1. L.S. Pontryagin et al. The mathematical theory of optimal processes. Macmil-lan, 1964.

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© 2000 Springer-Verlag Berlin Heidelberg New York

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Varaiya, P. (2000). Reach Set Computation Using Optimal Control. In: Inan, M.K., Kurshan, R.P. (eds) Verification of Digital and Hybrid Systems. NATO ASI Series, vol 170. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59615-5_15

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  • DOI: https://doi.org/10.1007/978-3-642-59615-5_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64052-0

  • Online ISBN: 978-3-642-59615-5

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