Optimum control laws in a non-autonomous dynamic model of a gas field |
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Authors: | Yu N Kiselev M V Orlov |
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Institution: | 1.Faculty of Computational Mathematics and Cybernetics,Moscow State University,Moscow,Russia |
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Abstract: | A model of gas field development described as a nonlinear optimum control problem with an infinite planning horizon is considered.
The Pontryagin maximum principle is used to solve it. The theorem on sufficient optimumity conditions in terms of constructions
of the Pontryagin maximum principles is used to substantiate the optimumity of the extremal solution. A procedure for constructing
the optimum solution by dynamic programming is described and is of some methodological interest. The obtained optimum solution
is used to construct the Bellman function. Reference is made to a work containing an economic interpretation of the problem. |
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