Uniform asymptotic stability and global stability of impulsive infinite delay differential equations

作者：Li Xiaodi^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2009, 70(5): 1975-1983.

DOI：10.1016/j.na.2008.02.096

• Impulsive infinite delay differential equations
• Uniform asymptotic stability
• Global stability
• Razumikhin technique
• Lyapunov functions

This paper deals with the stability of a class of impulsive infinite delay differential equations. By using the Razumikhin technique and Lyapunov functions, we obtain a new criterion on the uniform asymptotic stability and global stability for such differential equations. The result is less restrictive and conservative than that given in some earlier references. Also, our result shows that impulses can make unstable systems stable. An example is given to illustrate the feasibility and advantage of the result.

• 出版日期2009-3-1
• 单位山东师范大学