Exponential synchronization of stochastic neural networks with leakage delay and reaction-diffusion terms via periodically intermittent control

2012 ◽  
Vol 22 (1) ◽  
pp. 013124 ◽  
Author(s):  
Qintao Gan
Keyword(s):  
Neural Networks ◽  
Reaction Diffusion ◽  
Exponential Synchronization ◽  
Leakage Delay ◽  
Stochastic Neural Networks ◽  
Intermittent Control ◽  
Periodically Intermittent Control

Exponential synchronization for reaction-diffusion neural networks with mixed time-varying delays via periodically intermittent control

2014 ◽  
Vol 19 (1) ◽  
pp. 1-25 ◽  
Author(s):  
Qintao Gan ◽  
Hong Zhang ◽  
Jun Dong
Keyword(s):  
Neural Networks ◽  
Stochastic Analysis ◽  
Reaction Diffusion ◽  
Exponential Synchronization ◽  
Intermittent Control ◽  
Time Varying ◽  
Periodically Intermittent Control ◽  
Stochastic Disturbance ◽  
Synchronization Problem

This paper deals with the exponential synchronization problem for reaction-diffusion neural networks with mixed time-varying delays and stochastic disturbance. By using stochastic analysis approaches and constructing a novel Lyapunov–Krasovskii functional, a periodically intermittent controller is first proposed to guarantee the exponential synchronization of reaction-diffusion neural networks with mixed time-varying delays and stochastic disturbance in terms of p-norm. The obtained synchronization results are easy to check and improve upon the existing ones. Particularly, the traditional assumptions on control width and time-varying delays are removed in this paper. This paper also presents two illustrative examples and uses simulated results of these examples to show the feasibility and effectiveness of the proposed scheme.

scholarly journals Exponential Synchronization of Inertial Cohen–Grossberg Neural Networks with Time-Varying Delays via Periodically Intermittent Control

2020 ◽  
Vol 15 (2) ◽  
pp. 15
Author(s):  
Qing Ding ◽  
Yinfang Song
Keyword(s):  
Neural Networks ◽  
Sufficient Conditions ◽  
Functional Method ◽  
Exponential Synchronization ◽  
Intermittent Control ◽  
Time Varying ◽  
Periodically Intermittent Control ◽  
Synchronization Problem ◽  
Control Schemes ◽  
Inequality Techniques

This paper deals with the exponential synchronization problem of inertial Cohen–Grossberg neural networks with time-varying delays under periodically intermittent control. In light of Lyapunov–Krasovskii functional method and inequality techniques, some sufficient conditions are attained to ensure the exponential synchronization of the master-slave system on the basis of p-norm. Meanwhile, the periodically intermittent control schemes are designed. Finally, in order to verify the effectiveness of theoretical results, some numerical simulations are provided.

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