The Maximum Principle for Optimal Control Problems with State Constraints by R.V. Gamkrelidze: Revisited
نویسندگان
چکیده
A maximum principle in the form given by R.V. Gamkrelidze is obtained, although without a priori regularity assumptions to be satisfied by the optimal trajectory. After its formulation and proof, we propose various regularity concepts that guarantee, in one sense or another, the nondegeneracy of the maximum principle. Finally, we show how the already known first-order necessary conditions can be deduced from the proposed theorem.
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ورودعنوان ژورنال:
- J. Optimization Theory and Applications
دوره 149 شماره
صفحات -
تاریخ انتشار 2011