Stability and Synchronization of Nonautonomous Reaction-Diffusion Neural Networks With General Time-Varying Delays

2021 ◽  
pp. 1-14
Author(s):  
Hao Zhang ◽  
Zhigang Zeng
Keyword(s):  
Neural Networks ◽  
Reaction Diffusion ◽  
Time Varying ◽  
General Time

scholarly journals Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Guowei Yang ◽  
Yonggui Kao ◽  
Changhong Wang
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Matrix Theory ◽  
Sufficient Conditions ◽  
Neumann Boundary ◽  
Reaction Diffusion ◽  
Cellular Neural Networks ◽  
Impulsive Effect ◽  
Time Varying ◽  
Delayed Reaction

This paper considers dynamical behaviors of a class of fuzzy impulsive reaction-diffusion delayed cellular neural networks (FIRDDCNNs) with time-varying periodic self-inhibitions, interconnection weights, and inputs. By using delay differential inequality,M-matrix theory, and analytic methods, some new sufficient conditions ensuring global exponential stability of the periodic FIRDDCNN model with Neumann boundary conditions are established, and the exponential convergence rate index is estimated. The differentiability of the time-varying delays is not needed. An example is presented to demonstrate the efficiency and effectiveness of the obtained results.

Switching synchronization of reaction-diffusion neural networks with time-varying delays

2022 ◽  
Vol 155 ◽  
pp. 111766
Author(s):  
Dandan Hu ◽  
Jieqing Tan ◽  
Kaibo Shi ◽  
Kui Ding
Keyword(s):  
Neural Networks ◽  
Reaction Diffusion ◽  
Time Varying
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