40 citations · 56 across the 5 of their papers we have counts for
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math.OC2003★ 1 cited
The control transmutation method and the cost of fast controls
Luc Miller
In this paper, the null controllability in any positive time T of the first-order equation (1) x'(t)=e^{iθ}Ax(t)+Bu(t) (|θ|<π/2 fixed) is deduced from the null controllability in s…
math.AP2003
Geometric bounds on the growth rate of null-controllability cost for the heat equation in small time
Luc Miller
Given a control region on a compact Riemannian manifold , we consider the heat equation with a source term localized in . It is known that any initial data in $L^…