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Applications to Optimal Control Problems

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Non-Homogeneous Boundary Value Problems and Applications

Part of the book series: Die Grundlehren der mathematischen Wissenschaften ((GL,volume 182))

Abstract

This chapter is of a somewhat different nature than the others: its sole objective is to serve as an introduction to the (enormous) subject of control problems for systems governed by partial differential equations, with the controls, appearing (mostly) in the boundary conditions. Sections 1 through 9 rely in an essential way on Chapter 4, and the remaining sections on Chapter 51.

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Bibliography

  1. Bensoussan, A. Filtrage optimal des systèmes linéaires, Paris: Dunod 1971. and the bibliography of this book.

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  2. Delfour, M. C., Mitter, S. K. Hereditary differential systems with constant delays, I: General Case, Univ. de Montreal, 1970, and the bibliography of this work.

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  3. Lemaire, B. Problèmes min-max et applications au controle optimal de systèmes gouvernés par des équations aux derivées partielles, Thesis, Paris 1970.

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  4. Friedman, A. Optimal control in Banach spaces. J. Math. Anal. and Appl. 19, 35–55 (1967).

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Authors and Affiliations

  1. University of Paris, France

    J. L. Lions

  2. University of Pavia, Italy

    E. Magenes

Authors
  1. J. L. Lions
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  2. E. Magenes
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© 1972 Springer-Verlag, Berlin · Heidelberg

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Lions, J.L., Magenes, E. (1972). Applications to Optimal Control Problems. In: Non-Homogeneous Boundary Value Problems and Applications. Die Grundlehren der mathematischen Wissenschaften, vol 182. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65217-2_3

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  • DOI: https://doi.org/10.1007/978-3-642-65217-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65219-6

  • Online ISBN: 978-3-642-65217-2

  • eBook Packages: Springer Book Archive

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