Mathematics – Optimization and Control
Scientific paper
2011-02-18
Mathematics
Optimization and Control
Scientific paper
We discuss several new results on nonnegative approximate controllability for the one-dimensional Heat equation governed by either multiplicative or nonnegative additive control, acting within a proper subset of the space domain at every moment of time. Our methods allow us to link these two types of controls to some extend. The main results include approximate controllability properties both for the static and mobile control supports.
Fernández Luis A.
Khapalov Alexander Y.
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