Multitime optimal control with second order PDEs constraints

Authors

  • Constantin Udriste University Politehnica of Bucharest Faculty of Applied Sciences

DOI:

https://doi.org/10.1478/AAPP.911A2

Keywords:

multitime PDE constrained optimization, multitime optimal control problems, multitime optimal principle, duality

Abstract

In this paper we study a simplified version of multitime optimal control problem for linear second-order partial differential equations (PDE). The multitime multiple integral functional is of Lagrange type. Necessary optimality conditions of multitime maximum principle type are derived. The multitime optimal control with second-order PDE constraints can be analyzed in three ways: as problems governed by (i) explicit m-flows, (ii) implicit m-flows, and (iii) second-order PDEs. All directions lead to variants of multitime maximum principle. The theoretical results are confirmed by solving two significant problems.

Author Biography

  • Constantin Udriste, University Politehnica of Bucharest Faculty of Applied Sciences
    Department of Mathematics-Informatics, Emeritus Prof. Dr.

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Published

2013-06-10

Issue

Vol. 91 No. 1 (2013)

Section

Articles

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