Fibonacci wavelets and their applications for solving two classes of time‐varying delay problems

• Published in: Optimal control applications & methods Vol. 41; no. 2; pp. 395 - 416
• Main Authors: Sabermahani, Sedigheh, Ordokhani, Yadollah, Yousefi, Sohrab‐Ali
• Format: Journal Article
• Language: English
• Published: Glasgow Wiley Subscription Services, Inc 01.03.2020
• Subjects: Delay; Fibonacci wavelets; Galerkin method; Initial conditions; Iterative methods; Numerical methods; numerical solution; operational matrix; Optimal control; time‐varying delay problem; Wavelet analysis

Summary In this paper, a numerical method for solving time‐varying delay equations and optimal control problems with time‐varying delay systems is discussed. This method is based upon Fibonacci wavelets and Petrov‐Galerkin method. To solve these problems, first, the Fibonacci wavelets are presented....