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- Open Access
Comments on ‘Sweep algorithm for solving optimal control problem with multi-point boundary conditions’ by M Mutallimov, R Zulfuqarova, and L Amirova
- Fikret A Aliev^{1}Email author
- Received: 8 October 2015
- Accepted: 21 March 2016
- Published: 13 May 2016
Abstract
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.
Keywords
- sweep algorithm
- optimization
- three-point boundary conditions
1 Introduction
In [1] 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 [4] for the two-point boundary conditions is given in [5]. However, the results obtained for the discrete case [1] are not optimal.
Declarations
Acknowledgements
The author thanks the reviewers of the comments and the editors for their instructive remarks.
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Authors’ Affiliations
References
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