Existence and stability of periodic solutions for impulsive fuzzy BAM Cohen-Grossberg neural networks on time scales

Advances in Difference Equations

Shaohong Cai¹  Qianhong Zhang¹ 

[1] Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, China

关键词: periodic solutions;    fuzzy Cohen-Grossberg BAM neural networks;    coincidence degree;    impulses;    time scales;   

DOI  :  10.1186/s13662-016-0762-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence and global exponential stability of periodic solutions for a kind of impulsive fuzzy Cohen-Grossberg BAM neural networks on time scales. Applying the method of coincidence degree and constructing some suitable Lyapunov functional, we obtain some sufficient conditions for the existence and global exponential stability of periodic solutions for a kind of impulsive fuzzy Cohen-Grossberg BAM neural networks on time scales. Moreover, we give an example to illustrate the results obtained.

【 授权许可】

CC BY