Solution of an optimal control problem with phase constraints by the double variation method |
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Authors: | E A Rovenskaya |
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Institution: | 1.Faculty of Computational Mathematics and Cybernetics,Moscow State University,Moscow,Russia |
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Abstract: | An optimal control problem with an integral quality index specified in a finite time interval is formulated for a model of
economic growth that leads to emission of greenhouse gases. The controlled system is linear with respect to control. The problem
contains phase constraints that abandon emission of greenhouse gases above some predefined time-dependent limit. As is known,
optimal control problems with phase constraints fall beyond the sphere of efficient application of the Pontryagin maximum
principle because, for such problems, this principle is formulated in a complicated form difficult for analytic treatment
in particular situations. In this study, the analytic structure of the optimal control and phase trajectories is constructed
using the double variation method. |
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Keywords: | |
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