Necessary Optimality Condition for the Singular Controls in an Optimal Control Problem with Nonlocal Conditions

作者：Safari Ali R^*; Sharifov Yagub A; Gasimov Yusif S

来源：Filomat, 2018, 32(3): 749-757.

DOI：10.2298/FIL1803749S

• Optimal control problem
• integral boundary condition
• singular controls
• Pontryagin's maximum principle
• necessary optimality condition

In this paper, we continue investigation of the problem considered in our earlier works. The paper deals with an optimal control problem for an ordinary differential equation with integral boundary conditions that generalizes the Cauchy problem. The problem is investigated the case when Pontryagin's maximum principle is degenerate. Moreover, the second order optimality conditions are derived for the considered problem.

• 出版日期2018