贝塞尔函数
数学
变量(数学)
非线性系统
应用数学
订单(交换)
最优控制
数学分析
控制理论(社会学)
控制(管理)
数学优化
计算机科学
物理
财务
量子力学
人工智能
经济
作者
Z. Avazzadeh,H. Hassani,A. Bayati Eshkaftaki,M. J. Ebadi,Praveen Agarwal
标识
DOI:10.1177/10775463241227475
摘要
This study aims to propose a new optimization method based on the generalized Bessel polynomials (GBPs) as a class of basis functions for a category of nonlinear two-dimensional variable-order fractional optimal control problems (N-2D-VOFOCPs) involved in fractional-order dynamical systems and Caputo derivatives. For the optimal solution of such problems, the optimization method is developed on the basis of operational matrices (OMs) scheme of derivatives, 2D Gauss–Legendre quadrature rule, and Lagrange multiplier technique. The state and control functions are expanded in terms of the GBPs to reduce the complexity of these problems. The proposed method focuses on a system of nonlinear algebraic equations in the process of finding solution to the problems. The convergence of the method based on GBPs is proved, and the accuracy of the method is analyzed by solving several examples.
科研通智能强力驱动
Strongly Powered by AbleSci AI