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International Workshop on Hybrid and Real-Time Systems

HART 1997: Hybrid and Real-Time Systems pp 391–396Cite as

Hybrid dynamic programming

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1201))

Abstract

In this paper we outline the derivation of a hybrid Hamilton-Jacobi-Bellman equation for our Multiple Agent Hybrid Control Architecture (MACHA) [5, 4] and a hybrid system dynamic progamming methodology.

Research supported by Dept. of Commerce Agreement 70-NANB5H1164.

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References

  1. R. Bellman, Dynamic Programming, Princeton U. Press, Princeton, NJ, (1957).

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  2. R. W. R. Darling: Differential Forms and Connections, Cambridge U. Press, (1995).

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  3. X. Ge, W. Kohn, A. Nerode, and J. B. Remmel: Hybrid Systems: Chattering Approximations to Relaxed Controls. Hybrid Systems III, Lecture Notes in Computer Science 1066, Springer-Verlag (1996), 76–100.

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  4. W. Kohn and A. Nerode: A Multiple agent Hybrid Control Arcitecture In Logical Methods (J. Crossley, J. B. Remmel, R. Shore, M. Sweedler, eds.), Birkhauser, (1993) 593–623.

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  5. W. Kohn and A. Nerode: Models for hybrid systems: automata, topologies, controllability and observability, Hybrid Systems, Lecture notes in Computer Science 736, Springer-Verlag, (1993), 317–356.

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  6. W. Kohn, A. Nerode, and J. B. Remmel, Hybrid Systems as Finsler Manifolds: Finite State Control as Approximation to Connections, Hybrid Systems II, Lecture Notes in Computer Science vol. 999, Springer-Verlag (1995), 294–321.

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  7. W. Kohn, A. Nerode, and J.B. Remmel: Feedback Derivations: Near Optimal Controls for Hybrid Systems, Proc. of CESA'96 IMACS Multiconference vol. 2, 517–521

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Authors and Affiliations

  1. Sagent Corporation, 11201 SE 8th Street #J140, 98004, Bellevue, Washington

    Wolf Kohn & Jeffrey B. Remmel

Authors
  1. Wolf Kohn
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  2. Jeffrey B. Remmel
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Editor information

Oded Maler

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© 1997 Springer-Verlag Berlin Heidelberg

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Cite this paper

Kohn, W., Remmel, J.B. (1997). Hybrid dynamic programming. In: Maler, O. (eds) Hybrid and Real-Time Systems. HART 1997. Lecture Notes in Computer Science, vol 1201. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0014740

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  • DOI: https://doi.org/10.1007/BFb0014740

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62600-8

  • Online ISBN: 978-3-540-68330-8

  • eBook Packages: Springer Book Archive

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