Delay-coupled fractional order complex Cohen-Grossberg neural networks under parameter uncertainty: Synchronization stability criteria

AIMS Mathematics

Evren Hincal¹  Pratap Anbalagan¹  Raja Ramachandran²  Dumitru Baleanu³  Jinde Cao⁴  Chuangxia Huang⁵  Michal Niezabitowski⁶ 

[1] 1. Department of Mathematics, Near East University TRNC, Mersin 10, Turkey;2. Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi-630 004, India;3. Department of Mathematics, Cankaya University, Ankara 06530, Turkey;4. School of Mathematics, Southeast University, Nanjing 210096, China, and Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea;5. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and Technology, Changsha, 410114, China;6. Faculty of Automatic Control, Electronics and Computer Science, Department of Automatic Control, and Robotics, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland;

关键词: synchronization stability;    fractional order;    complex coupled cohen-grossberg neural networks;    kronecker product;    linear coupling delay;   

DOI  :  

来源: DOAJ

【 摘 要 】

This paper inspects the issues of synchronization stability and robust synchronization stability for fractional order coupled complex interconnected Cohen-Grossberg neural networks under linear coupling delays. For investigation of synchronization stability results, the comparison theorem for multiple delayed fractional order linear system is derived at first. Then, by means of given fractional comparison principle, some inequality methods, Kronecker product technique and classical Lyapunov-functional, several asymptotical synchronization stability criteria are addressed in the voice of linear matrix inequality (LMI) for the proposed model. Moreover, when parameter uncertainty exists, we also the investigate on the robust synchronization stability criteria for complex structure on linear coupling delayed Cohen-Grossberg type neural networks. At last, the validity of the proposed analytical results are performed by two computer simulations.

【 授权许可】

Unknown