New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays

作者：Li Xiaodi^*

来源：Nonlinear Analysis: Real World Applications , 2010, 11(5): 4194-4201.

DOI：10.1016/j.nonrwa.2010.05.006

• Impulsive functional differential equations
• Infinite delays
• Finite delays
• Global exponential stabilization
• Improved Razumikhin technique
• Lyapunov functions

This paper studies the global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays by using Lyapunov functions and improved Razumikhin technique. The results obtained in this paper improve and complement ones from some recent works. Moreover, the Razumikhin condition obtained is very simple and effective to implement in real problems and it is helpful for investigating the stability of control systems and synchronization control of chaotic systems. Finally, two examples and their simulations are given to show the effectiveness and advantages of our results.

• 出版日期2010-10
• 单位厦门大学