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- Title
Sufficient optimality conditions for the optimal control problem.
- Authors
Djendel, Khelifa; Zhou, Zhongcheng
- Abstract
The main purpose of this paper is to establish the sufficient optimality conditions for the optimal controls under some convexity assumptions. For the Bolza problem, under concavity of the Hamiltonian and convexity of the cost functional, the extreme control must be optimal control. However, for the Mayer problem, the cost functional can be relaxed to quasi‐convex and pseudo‐convex. Finally, some examples illustrate these theoretical results and some counter examples show that the convexity assumptions of these results cannot be further weakened in some sense.
- Subjects
COST
- Publication
Optimal Control - Applications & Methods, 2023, Vol 44, Issue 3, p1115
- ISSN
0143-2087
- Publication type
Article
- DOI
10.1002/oca.2831