Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models

الملخص EN

The exact boundary controllability of a class of enhanced oil recovery systems is discussedin this paper.

With a simple transformation, the enhanced oil recovery model is first affirmed to be neithergenuinely nonlinear nor linearly degenerate.

It is then shown that the enhanced oil recovery system withnonlinear 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.