Various Relaxations in Optimal Control of Distributed Parameter Systems

  • Tomáš Roubíček
Conference paper
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 118)


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.

1991 Mathematics Subject Classification

49J20 49K20 

Key words and phrases

Convex compactifications optimal control relaxation Young measures Pontryagin maximum principle parabolic problems 


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Copyright information

© Springer Basel AG 1994

Authors and Affiliations

  • Tomáš Roubíček
    • 1
  1. 1.Institute of Information Theory and AutomationAcademy of Sciences of Czech RepublicPraha 8Czech Republic

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