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Controllability of nonlinear diffusion system

Abstract : In this article, the semi-group theory is exploited to study the controllability of a particular but important class of distributed parameter systems with a uniform distributed control variable. This class is described by a partial differential equation that characterizes the nonlinear diffusion phenomenon. The main idea consists of using the Cole-Hopf tangent transformation, under some assumptions, in order to derive an equivalent linear model of the nonlinear diffusion system. Then, the study of the controllability of the linear model, based on the semi-group approach, allows us to conclude about the controllability of the nonlinear diffusion system. The study is illustrated by an application example.
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https://hal.univ-lorraine.fr/hal-01267375
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Submitted on : Thursday, February 4, 2016 - 12:42:20 PM
Last modification on : Friday, February 26, 2021 - 3:32:06 PM

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Ahmed Maidi, Jean-Pierre Corriou. Controllability of nonlinear diffusion system. Canadian Journal of Chemical Engineering, Wiley, 2015, 93 (2, SI), pp.427-431. ⟨10.1002/cjce.22030⟩. ⟨hal-01267375⟩

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