Comments on ‘Sweep algorithm for solving optimal control problem with multi-point boundary conditions’ by M Mutallimov, R Zulfuqarova, and L Amirova
© Aliev 2016
Received: 8 October 2015
Accepted: 21 March 2016
Published: 13 May 2016
A counter example is given for the solution of the linear-quadratic optimization problem with three-point boundary conditions. The example shows that the solution obtained in (Mutallimov et al. in Adv. Differ. Equ. 2015:233, 2015) by using a sweep method is not optimal.
In  the linear-quadratic optimization problem with multi-point boundary conditions, both in the continuous and the discrete cases, are considered. The sweep method [2, 3], which generalizes the results  for the two-point boundary conditions is given in . However, the results obtained for the discrete case  are not optimal.
The author thanks the reviewers of the comments and the editors for their instructive remarks.
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