Existence and stability of periodic solution of impulsive neural systems with complex deviating arguments.
This paper discusses a class of impulsive neural networks with the variable delay and complex deviating arguments. By using Mawhin's continuation theorem of coincidence degree and the Halanay-type inequalities, several sufficient conditions for impulsive neural networks are established for the existence and globally exponential stability of periodic solutions, respectively. Furthermore, the obtained results are applied to some typical impulsive neural network systems as special cases, with a real-life example to show feasibility of our results.
a School of Mathematics and Information Science , Henan Polytechnic University , Jiaozuo 454000 , People's Republic of China.
Yong
Y
Zhao
Zhaosheng
Z
Feng
Wei
W
Ding
D008962:Models, Theoretical; D016571:Neural Networks, Computer; D011157:Population Dynamics
92B20; 93C40; coincidence degree; global exponential stability; impulsive network; matrix theory; periodic solution; spectral theory