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 applicationFind g α s.t.⎧⎨⎩Partial control on Π α H∂ t u + Au = Π α Bg αu |t=0 = u 0 ∈ Π α Hu |t=T = 0Theorem∀T > 0, ∃g α ∈ L 2 (0, T ; Y ) driving u 0 to 0 in time T with a costgiven by ‖g α ‖ L 2 (0,T ;Y ) ≤ CT −1/2 e Dαθ ‖u 0 ‖ H .