Difference inequality for stability of impulsive difference equations with distributed delays

作者：Li Dingshi^*; Long Shujun; Wang Xiaohu

来源：Journal of Inequalities and Applications, 2011, 8.

DOI：10.1186/1029-242X-2011-8

• Difference equations
• Impulsive
• Distributed delays
• Difference inequality
• Global exponential stability

In this paper, we consider a class of impulsive difference equations with distributed delays. By establishing an impulsive delay difference inequality and using the properties of "rho-cone" and eigenspace of the spectral radius of non-negative matrices, some new sufficient conditions for global exponential stability of the impulsive difference equations with distributed delays are obtained. An example is given to demonstrate the effectiveness of the theory.

• 出版日期2011
• 单位乐山师范学院; 四川大学