Author:
Gasimov Jasarat J.,Asadzade Javad A.,Mahmudov Nazim I.
Abstract
AbstractThis article explores two distinct issues. To begin with, we analyze the Pontriagin maximum principle concerning fractional delay differential equations. Furthermore, we investigate the most effective method for resolving the control problem associated with Eq. (1.1) and its corresponding payoff function (1.2). Subsequently, we explore the Pontryagin Maximum principle within the framework of Volterra delay integral equations (1.3). We enhance the outcomes of our investigation by presenting illustrative examples towards the conclusion of the article.
Funder
Eastern Mediterranean University
Publisher
Springer Science and Business Media LLC
Reference36 articles.
1. Agrawal, O.P.: A general formulation and solution scheme for fractional optimal control problems. Nonlinear Dyn. 38, 323–337 (2004)
2. Agrawal, O.P., Defterli, O., Baleanu, D.: Fractional optimal control problems with several state and control variables. J. Vib. Control 16(13), 1967–1976 (2010)
3. Bourdin, L.: A class of fractional optimal control problems and fractional Pontryagin’s systems. Existence of a fractional Noether’s theorem. arXiv:1203.1422 (2012)
4. Diethelm, K.: A fractional calculus based model for the simulation of an outbreak of dengue fever. Nonlinear Dyn. 71, 613–619 (2013)
5. Hasan, M.M., Tangpong, X.W., Agrawal, O.P.: Fractional optimal control of distributed systems in spherical and cylindrical coordinates. J. Vib. Control 18(10), 1506–1525 (2012)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献