Study On Dynamic Behavior Of Several Types Of Non-autonomous Neural Networks Models

In this paper,we investigate the dynamic behaviors of several kinds of non-autonomous neural network systems: Global exponential stability of non-autonomous cellular neural networks with distributed delays;Boundedness and Global exponential stability of non-autonomous neural networks with Reaction-diffusion and S-type distributed delays;Boundedness and Global α-exponential stability of fractional-order non-autonomous neural networks.In Chapter 1,we introduce the research progress significance of neural network and research status at home and abroad.In Chapter 2,by establishing a new differential-integral inequality,and using Inequality analysis method,we investigate the global exponential stability of non-autonomous cellular neural networks with distributed delays.We obtain the sufficient conditions for ensuring the global exponential stability of the considered system.It does not require unanimously established vary with the time.Our results improve the early results in the literature.In Chapter 3,we investigate the boundedness and global exponential stability of non-autonomous neural networks with Reaction-diffusion and S-type distributed delays.By establishing a new differential-integral vector inequality,combining with the property of diffusion operator,we obtain the sufficient conditions for ensuring the boundedness and global exponential stability of this system.The proposed results extent non-autonomous neural networks with Reaction-diffusion related conclusions.In Chapter 4,By establishing a new fractional differential inequality,combining with the properties of fractional calculus,we investigate the boundedness and global α-exponential stability of fractional-order non-autonomous neural networks.We obtain the sufficient conditions for ensuring the boundedness and global α-Exponential stability of the considered neural networks.The proposed results improve some early related conclusions.