Internal Exact Controllability of the Heat Equation in Finite Dimension by Strategic Actuators Zone
Mame Libasse Laye Ane, Cheikh Seck, Abdoulaye Sene, Mary Teuw Niane
Journal of Advances in Mathematics and Computer Science · pp. 76–86 · Published 11 Mar 2021
10.9734/jamcs/2021/v36i130332Abstract
In this paper, we show, by a new approach called SCD (Surjectivity by compactness and density), the internal exact controllability of the 1D heat equation by the use of strategic zone actuators. For the achievement of this objective, an operator (linear, continuous and surjective) built directly from the system allowed us to establish the exact result of controllability.
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