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A Hybrid Bellman Equation for Bimodal Systems

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Hybrid Systems: Computation and Control (HSCC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4416))

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Abstract

In this paper we present a dynamic programming formulation of a hybrid optimal control problem for bimodal systems with regional dynamics. In particular, based on optimality-zone computations, a framework is presented in which the resulting hybrid Bellman equation guides the design of optimal control programs with, at most, N discrete transitions.

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References

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Authors and Affiliations

  1. McGill University, Electrical and Computer Engineering, Montreal, Quebec, H3A-2A7, Canada

    Peter Caines

  2. Georgia Institute of Technology, Electrical and Computer Engineering, Atlanta, GA 30323, USA

    Magnus Egerstedt

  3. Ecole Polytechnique Motreal, Electrical Engineering, Montreal, Quebec, H3C 3A7, Canada

    Roland Malhame

  4. Georgia Institute of Technology, Civil and Environmental Engineering, Atlanta, GA 30323, USA

    Angela Schöllig

Authors
  1. Peter Caines
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  2. Magnus Egerstedt
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  3. Roland Malhame
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  4. Angela Schöllig
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Editor information

Alberto Bemporad Antonio Bicchi Giorgio Buttazzo

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© 2007 Springer Berlin Heidelberg

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Caines, P., Egerstedt, M., Malhame, R., Schöllig, A. (2007). A Hybrid Bellman Equation for Bimodal Systems. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds) Hybrid Systems: Computation and Control. HSCC 2007. Lecture Notes in Computer Science, vol 4416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71493-4_54

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  • DOI: https://doi.org/10.1007/978-3-540-71493-4_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71492-7

  • Online ISBN: 978-3-540-71493-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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