Mathematical model and optimal control of flow induced vibration of pipelines
N.U. Ahmed
Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 19 (1999), p. 67-84 / Harvested from The Polish Digital Mathematics Library
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In this paper we consider a dynamic model for flow induced vibration of pipelines. We study the questions of existence and uniqueness of solutions of the system. Considering the flow rate as the control variable, we present three different necessary conditions of optimality. The last one with state constraint involves Differential Inclusions. The paper is concluded with an algorithm for computing the optimal controls.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:276010 
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N.U. Ahmed. Mathematical model and optimal control of flow induced vibration of pipelines. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 19 (1999) pp. 67-84. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div19i1-2n5bwm/

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