Controllability of cascade coupled systems of multi-dimensional evolution PDE's by a reduced number of controls

Details Controllability of cascade coupled systems of multi-dimensional evolution PDE's by a reduced number of controls Controllability of cascade coupled systems of multi-dimensional evolution PDE's by a reduced number of controls

2011-09-29

arxiv.org/abs/1109.6645v2

Mathematics

Optimization and Control

Scientific paper

We prove controllability results for abstract systems of weakly coupled $N$
evolution equations in cascade by a reduced number of boundary or locally
distributed controls ranging from a single up to $N-1$ controls. We give
applications to cascade coupled systems of $N$ multi-dimensional-hyperbolic,
parabolic and diffusive equations.

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