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Various Relaxations in Optimal Control of Distributed Parameter Systems

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Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 118))

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Abstract

The so-called convex-compactification theory is applied to an extension (=relaxation) of optimal control problems involving evolution distributed parameter systems. An infinite number of relaxed problems and corresponding Pontryagin maximum principles are thus obtained, including those described in the literature. A comparison and an abstract unifying viewpoint is thus made possible.

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Author information

Authors and Affiliations

  1. Institute of Information Theory and Automation, Academy of Sciences of Czech Republic, Pod vodárenskou věží 4, CZ-182 08, Praha 8, Czech Republic

    Tomáš Roubíček

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  1. Tomáš Roubíček
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Universitat Graz, Heinrichstrasse 36, A-8010, Graz, Austria

    W. Desch  & F. Kappel  & 

  2. Fachbereich Mathematik, Technische Universitat Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany

    K. Kunisch

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© 1994 Springer Basel AG

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Roubíček, T. (1994). Various Relaxations in Optimal Control of Distributed Parameter Systems. In: Desch, W., Kappel, F., Kunisch, K. (eds) Control and Estimation of Distributed Parameter Systems: Nonlinear Phenomena. ISNM International Series of Numerical Mathematics, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8530-0_18

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  • DOI: https://doi.org/10.1007/978-3-0348-8530-0_18

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9666-5

  • Online ISBN: 978-3-0348-8530-0

  • eBook Packages: Springer Book Archive

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