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**Exact boundary controller design for a kind of enhanced oil recovery models.**
*(English)*
Zbl 1406.93057

Summary: The exact boundary controllability of a class of enhanced oil recovery systems is discussed in this paper. With a simple transformation, the enhanced oil recovery model is first affirmed to be neither genuinely nonlinear nor linearly degenerate. It is then shown that the enhanced oil recovery system with nonlinear boundary conditions is exactly boundary controllable by applying a constructed method. Moreover, an interval of the control time is presented to not only give the optimal control time but also show the time for avoiding the blowup of the controllable solution. Finally, an example is given to illustrate the effectiveness of the proposed criterion.

### MSC:

93B05 | Controllability |

93B17 | Transformations |

93C20 | Control/observation systems governed by partial differential equations |

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\textit{P. Guo} et al., Abstr. Appl. Anal. 2014, Article ID 747092, 9 p. (2014; Zbl 1406.93057)

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### References:

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