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Optimal Control for Distributed Linear Systems Subjected to Null Controllability with Constraints on the State

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Book cover Advances in Interdisciplinary Mathematical Research

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 37))

Abstract

In this paper we apply the notion of hierarchical control on a distributed system in which the state is governed by a parabolic equation. This notion assumes that we have two controls where one will be the Leader and the other, the Follower. The first control is supposed to bring the solution of the parabolic equation subjected to finite number of constraints to rest at time T while the second expresses that the state does not move too far from a given state. The results are achieved by means of an observability inequality of Carleman adapted to the constraint.

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Author information

Authors and Affiliations

  1. Laboratoire CEREGMIA, Université des Antilles et de La Guyane, Campus Fouillole, 97159, Pointe-à-Pitre, Guadeloupe (FWI), France

    Michelle Mercan

Authors
  1. Michelle Mercan
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Correspondence to Michelle Mercan .

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Editors and Affiliations

  1. , Dept of Mathematics & Computer Sciences, Virginia State University, P.O. Box 9068, Petersburg, 23806, Virginia, USA

    Bourama Toni

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Mercan, M. (2013). Optimal Control for Distributed Linear Systems Subjected to Null Controllability with Constraints on the State. In: Toni, B. (eds) Advances in Interdisciplinary Mathematical Research. Springer Proceedings in Mathematics & Statistics, vol 37. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6345-0_11

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