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Journal Articles Mathematical Programming Year : 2018

Optimal Control of Infinite Dimensional Bilinear Systems: Application to the Heat and Wave Equations

Abstract

In this paper we consider second order optimality conditions for a bilinear optimal control problem governed by a strongly continuous semigroup operator, the control entering linearly in the cost function. We derive first and second order optimality conditions, taking advantage of the Goh transform. We then apply the results to the heat and wave equations.
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Dates and versions

hal-01273496 , version 1 (12-02-2016)
hal-01273496 , version 2 (05-09-2016)

Identifiers

  • HAL Id : hal-01273496 , version 2

Cite

Maria Soledad Aronna, Joseph Fréderic Bonnans, Axel Kröner. Optimal Control of Infinite Dimensional Bilinear Systems: Application to the Heat and Wave Equations. Mathematical Programming, 2018, 168 (1-2), pp.717-757. ⟨hal-01273496v2⟩
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