Advanced search
Publication Cover
Cogent Mathematics & Statistics Volume 6, 2019 - Issue 1
Submit an article Journal homepage
936
Views
4
CrossRef citations to date
0
Altmetric
Research Article

A hybrid direction algorithm for solving optimal control problems

Mohamed Abdelaziz ZaitriResearch Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, Bejaia, AlgeriaCorrespondence[email protected]
View further author information
,
Mohand Ouamer BibiResearch Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, Bejaia, AlgeriaView further author information
&
Mohand BentobacheLMPA, Laboratory of Pure and Applied Mathematics, University of Laghouat, Laghouat, AlgeriaView further author information
|
Cedric K.F. YiuHong Kong Polytechnic University, Hong Kong, Hong KongView further author information
(Reviewing editor)
Article: 1612614 | Received 06 Oct 2018, Accepted 11 Apr 2019, Published online: 20 May 2019

References

  • Bentobache, M. (2013). On mathematical methods of linear and quadratic programming (PhD thesis), University of Bejaia, Bejaia, Algeria.
  • Bentobache, M., & Bibi, M. O. (2012). A two-phase support method for solving linear programs: Numerical experiments. Mathematical Problems in Engineering, 2012. Article ID 482193, doi:10.1155/2012/482193
  • Bentobache, M., & Bibi, M. O. (2016). Numerical methods of linear and quadratic programming. Germany (in French): French Academic Editions.
  • Bibi, M. O. (1994). Optimization of a linear dynamic system with double terminal constraints on the trajectories. Optimization, 30(4), 359–12. doi:10.1080/02331939408843998
  • Bibi, M. O. (1996). Support method for solving a linear-quadratic problem with polyhedral constraints on control. Optimization, 37(2), 139–147. doi:10.1080/02331939608844205
  • Bibi, M. O., & Bentobache, M. (2011). The adaptive method with hybrid direction for solving linear programming problems with bounded variables. Proceedings of COSI’2011 pp. 80–91, 24–27 April, Algeria: University of Guelma.
  • Bibi, M. O., & Bentobache, M. (2015). A hybrid direction algorithm for solving linear programs. International Journal of Computer Mathematics, 92(1), 201–216. doi:10.1080/00207160.2014.890188
  • Brahmi, B., & Bibi, M. O. (2010). Dual support method for solving convex quadratic programs. Optimization, 59(6), 851–872. doi:10.1080/02331930902878341
  • Gabasov, R., & Kirillova, F. M. (1980). Methods of linear programming (Vol. 3). Edition of the Minsk University, Minsk (in Russian).
  • Gabasov, R., Kirillova, F. M., & Prischepova, S. V. (1995). Optimal feedback control. London: Springer-Verlag.
  • Khimoum, N., & Bibi, M. O. (2019). Primal-dual method for solving a linear-quadratic multi-input optimal control problem. Optimization Letters. doi:10.1007/s11590-018-1375-2
  • Kostina, E. A., & Kostyukova, O. I. (2001). An algorithm for solving quadratic programming problems with linear equality and inequality constraints. Computational Mathematics and Mathematical Physics, 41(7), 960–973.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.