New Results on Synchronization of Fractional-Order Memristor‐Based Neural Networks via State Feedback Control
Xiaofan Li,
Yuan Ge,
Hongjian Liu,
Huiyuan Li,
Jian-an Fang
Affiliations
Xiaofan Li
Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, China
Yuan Ge
Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, China
Hongjian Liu
Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, China
Huiyuan Li
College of Information Science and Technology, Donghua University, Shanghai 201620, China
Jian-an Fang
College of Information Science and Technology, Donghua University, Shanghai 201620, China
This paper addresses the synchronization issue for the drive-response fractional-order memristor‐based neural networks (FOMNNs) via state feedback control. To achieve the synchronization for considered drive-response FOMNNs, two feedback controllers are introduced. Then, by adopting nonsmooth analysis, fractional Lyapunov’s direct method, Young inequality, and fractional-order differential inclusions, several algebraic sufficient criteria are obtained for guaranteeing the synchronization of the drive-response FOMNNs. Lastly, for illustrating the effectiveness of the obtained theoretical results, an example is given.
