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nonnegative locally distributed controls

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Controllability properties for the one-dimensional Heatequation under multiplicative or nonnegative additive controls with local mobilesupport ∗∗∗
Luis Alberto Fernández, Alexander Yuri Khapalov
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 4 / October 2012

Published online by Cambridge University Press:

27 March 2012, pp. 1207-1224

Print publication:

October 2012
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We discuss several new results on nonnegative approximate controllability for theone-dimensional Heat equation governed by either multiplicative or nonnegative additivecontrol, acting within a proper subset of the space domain at every moment of time. Ourmethods allow us to link these two types of controls to some extend. The main resultsinclude approximate controllability properties both for the static and mobile controlsupports.