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Journal Articles Systems and Control Letters Year : 2024

Ensemble controllability of parabolic type equations

Abstract

In this paper, we extend the concept of ensemble controllability introduced in 2009 by Jr-Shin Li and Navin Khaneja to a class of linear partial differential equation. More precisely, we consider some abstract parabolic equation, where the system depends on some unknown parameter which is assumed to belong to a compact interval. We investigate the possibility of approximatively reaching (in L²-norm) any target state from any initial state, with an open loop control. Here the initial and target states might depend on the unknown parameter, but the control is assumed to be parameter independent.
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Dates and versions

hal-04174446 , version 1 (31-07-2023)
hal-04174446 , version 2 (16-11-2023)

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Cite

Baparou Danhane, Jérôme Lohéac. Ensemble controllability of parabolic type equations. Systems and Control Letters, 2024, 183, pp.105683. ⟨10.1016/j.sysconle.2023.105683⟩. ⟨hal-04174446v2⟩
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