Research Article
Impulse Controllability Problem for the Equation of a String with an External Load on a Rectangle QT = [0 ≤ x ≤ π] × [0 ≤ t ≤ T].
https://doi.org/10.21203/rs.3.rs-1106573/v1
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In this paper necessary and sufficient conditions for impulse null-controllability and approximate null-controllability are obtained for the controllability problem for the equation of the string on a rectangle. This article discusses control that is carried out using an external load. Controls solving these problems are found explicitly.
wave equation
rectangular
Dirac function
controllability problem
control by the external load
Fourier transform
function with bounded variation
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You are reading this latest preprint version