Remarks on global controllability for the Burgers equation with two control forces
S. Guerrero, O. Yu. Imanuvilov (2007)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
S. Guerrero, O. Yu. Imanuvilov (2007)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Alexander Y. Khapalov (2002)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We study the global approximate controllability of the one dimensional semilinear convection-diffusion-reaction equation governed in a bounded domain via the coefficient (bilinear control) in the additive reaction term. Clearly, even in the linear case, due to the maximum principle, such system is not globally or locally controllable in any reasonable linear space. It is also well known that for the superlinear terms admitting a power growth at infinity the global approximate controllability...
Farid Ammar Khodja, Assia Benabdallah, Cédric Dupaix, Ilya Kostin (2005)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.
Alexander Khapalov (1999)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
Anna Doubova, A. Osses, J.-P. Puel (2002)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
The results of this paper concern exact controllability to the trajectories for a coupled system of semilinear heat equations. We have transmission conditions on the interface and Dirichlet boundary conditions at the external part of the boundary so that the system can be viewed as a single equation with discontinuous coefficients in the principal part. Exact controllability to the trajectories is proved when we consider distributed controls supported in the part of the domain where...