New results for global exponential synchronization in neural networks via functional differential inclusions.
This paper is concerned with the synchronization dynamical behaviors for a class of delayed neural networks with discontinuous neuron activations. Continuous and discontinuous state feedback controller are designed such that the neural networks model can realize exponential complete synchronization in view of functional differential inclusions theory, Lyapunov functional method and inequality technique. The new proposed results here are very easy to verify and also applicable to neural networks with continuous activations. Finally, some numerical examples show the applicability and effectiveness of our main results.
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian, People's Republic of China.
Dongshu
D
Wang
College of Mathematics and Econometrics, Hunan University, Changsha 410082, Hunan, People's Republic of China.
Lihong
L
Huang
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, Fujian, People's Republic of China.
Longkun
L
Tang
D000465:Algorithms; D016571:Neural Networks, Computer; D009716:Numerical Analysis, Computer-Assisted; D013997:Time Factors