New criterion on the global exponential stability for reaction-diffusion cellular neural networks with time-varying delays

作者：Luo, Yi-Ping^*; Xia, Wen-Hua; Liu, Guo-Rong; Deng, Fei-Qi

来源：Acta Electronica Sinica, 2008, 36(4): 609-613.

• Diffusion operator
• Exponential asymptotic stability
• Hanalay inequality
• Poincare inequality
• Reaction diffusion
• Time-varying delay

Based on extended Hanalay inequality, the exponential asymptotic stability for a class of cellular neural networks with delays and reaction-diffusion terms is investigated by using Poincare inequality. The obtained criteria have a distinguished feature from previous studies, and our results contain diffusion operator terms. The new results are less conservative than the existing ones. Finally, an illustrative example is give to verify the effectiveness of the method.

• 出版日期2008-4
• 单位华南理工大学