Premium
On the fractional optimal control problems with a general derivative operator
Author(s) -
Jajarmi Amin,
Baleanu Dumitru
Publication year - 2021
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2282
Subject(s) - fractional calculus , kernel (algebra) , mathematics , operator (biology) , integer (computer science) , mathematical optimization , optimal control , derivative (finance) , control theory (sociology) , computer science , control (management) , pure mathematics , artificial intelligence , biochemistry , chemistry , programming language , financial economics , repressor , transcription factor , economics , gene
This paper deals with a general form of fractional optimal control problems involving the fractional derivative with singular or non‐singular kernel. The necessary conditions for the optimality of these problems are derived and a new numerical method is designed to solve these equations effectively. Simulation results indicate that the proposed method works well and provides satisfactory results with regard to accuracy and computational effort. Comparative results also verify that a particular case with Mittag‐Leffler kernel improves the performance of the controlled system in terms of the transient response compared to the other fractional‐ and integer‐order derivatives.