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Optimal control of systems with multiple steady-states

  • Session 11 Numerical Methods
  • Conference paper
  • First Online:
Analysis and Optimization of Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 63))

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Abstract

This paper describes algorithms for the optimal control of multistate systems. As a test problem we use the reaction diffusion equation governing the steady-states of an enzyme system. The originality of such problems is that the state is not uniquely defined as a function of the control.

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References

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Author information

Authors and Affiliations

  1. Computer Science, Concordia University, Montreal, Canada

    E. J. Doedel

  2. U.T.C., BP 233, 60206, Compiègne, France

    M. C. Duban, G. Joly & J. P. Kernevez

Authors
  1. E. J. Doedel
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  2. M. C. Duban
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  3. G. Joly
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  4. J. P. Kernevez
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Editor information

A. Bensoussan J. L. Lions

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© 1984 Springer-Verlag

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Doedel, E.J., Duban, M.C., Joly, G., Kernevez, J.P. (1984). Optimal control of systems with multiple steady-states. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006272

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  • DOI: https://doi.org/10.1007/BFb0006272

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13552-4

  • Online ISBN: 978-3-540-39010-7

  • eBook Packages: Springer Book Archive

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