Optimal control for the multi-input discrete-time bilinear systems with an application in cancer chemotherapy


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Authors

  • O. Balatifr Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University Mohammedia, BP 7955, Sidi Othman, Casablanca, Morocco
  • M. Rachik Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University Mohammedia, BP 7955, Sidi Othman, Casablanca, Morocco
  • A. E. Laaroussi Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University Mohammedia, BP 7955, Sidi Othman, Casablanca, Morocco
  • M. El hia Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University Mohammedia, BP 7955, Sidi Othman, Casablanca, Morocco
  • J. Bouyaghroumni Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University Mohammedia, BP 7955, Sidi Othman, Casablanca, Morocco

Keywords:

Bilinear discrete-time systems, Optimal control, Pontryagin's Maximum Principle, Cancer chemotherapy

Abstract

In this paper we study the optimal control problem for a multi-input bilinear system. We adopt a method based on rewriting our system in a compartments form, and finding the optimal control which minimizes a given cost function by applying the Pontryagin's maximum principle. Also, we present an iterative process to find a solution of the optimality system. Finally we applying this method to cancer chemotherapeutic model.

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Published

15-03-2015

How to Cite

O. Balatifr, M. Rachik, A. E. Laaroussi, M. El hia, & J. Bouyaghroumni. (2015). Optimal control for the multi-input discrete-time bilinear systems with an application in cancer chemotherapy. International Journal of Mathematics And Its Applications, 3(1), 139–148. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/412

Issue

Vol. 3 No. 1 (2015)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.