A spectral approach of the null controllability of coupled non ...
A spectral approach of the null controllability of coupled non ...
A spectral approach of the null controllability of coupled non ...
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Spectral properties <strong>of</strong> A Parabolic <strong>controllability</strong> properties An applicationThe <strong>null</strong>-<strong>controllability</strong> problem{∂t u + Au = Bgu |t=0 = u 0(1)• A elliptic• B boundedQuestion: for a fixed T > 0, ∃? a control function g s.t.u |t=T = 0?• Scalar parabolic equations: A = −∆ + b · ∇ + c and B = 1( ) ( ) ωu1 −∆ + a b• Parabolic systems: u = A =,u 2 c −∆ + d( ) 0B =1 ω