New Existence Result for Autonomous One-Dimensional Optimal Control Problems
Pedregal, P.; Tiago, Jorge
Journal of Optimization Theory and Applications, 134(2) (2007), 241-255
http://dx.doi.org/10.1007/s10957-007-9227-8
The approach to optimal control problems based on a purely variational reformulation may lead to new existence results by using fine, general existence theorems for variational problems without convexity assumptions. We illustrate this perspective here for autonomous one-dimensional problems and defer the study of more complex situations to later work.
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