The Pontryagin maximum principle as an optimality criterion for a class of nonlinear control problems
نویسنده
چکیده
It well known that the Pontryagin maximum principle is a necessary optimality condition for control problems. For linear control problems, it is also a sufficient condition, but for a nonlinear control problems in common form, it is not. We found a class of nonlinear control problems for which the Pontryagin maximum principle is also a sufficient optimality condition. This is a class of problems of moving a system into the zero state with minimization of a nonnegative integral functional in control. Two particular cases of these problems are the problems of minimization of resources or energy consumption.
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ورودعنوان ژورنال:
- Stud. Inform. Univ.
دوره 9 شماره
صفحات -
تاریخ انتشار 2011