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

• Published in: AIMS mathematics Vol. 6; no. 3; pp. 2844 - 2873
• Main Authors: Anbalagan, Pratap, Hincal, Evren, Ramachandran, Raja, Baleanu, Dumitru, Cao, Jinde, Huang, Chuangxia, Niezabitowski, Michal
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: complex coupled cohen-grossberg neural networks; fractional order; kronecker product; linear coupling delay; synchronization stability
• ISSN: 2473-6988; 2473-6988
• DOI: 10.3934/math.2021172

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.