Exact and Approximate Controllability for Distributed Parameter Systems: A Numerical Approach

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Numerical null controllability of semi-linear 1-D heat equations: Fixed point, least squares and Newton methods (2012, background): “There are “good” weight functions ρ and ρ0 that blow up at t = T and provide a very suitable solution to the null controllability problem.”
A least-squares method for the numerical solution of the Dirichlet problem for the elliptic monge − ampère equation in dimension two (2013, unknown): “, [34] one can easily show that, for all (φ,p) ∈ Vgh × Qh: 〈 ∂Jh ∂φ (φ,q), θ 〉 = ∫”
Characterization by observability inequalities of controllability and stabilization properties (2018, methodology): “tyinequalities, of the concepts of α-null controllability, of approximate controllability and of exponential stabilizability. The two ﬁrst ones follow from easy arguments using Fenchel duality, as in [12, 21] and are certainly already known (at least, we were able to ﬁnd the one on approximate contr”