论文信息 - Global exponential stability of impulsive differential equations with any time delays

Global exponential stability of impulsive differential equations with any time delays

Abstract The main objective of this letter is to further investigate the global exponential stability of a class of general impulsive retarded functional differential equations. Several new criteria on global exponential stability are analytically established based on Lyapunov function methods combined with Razumikhin techniques. The obtained results extend and generalize some results existing in the literature. An example, along with computer simulations, is included to illustrate the results.

[1] Leonid Berezansky,et al. Exponential stability of some scalar impulsive delay differential equation , 1998 .

[2] Xinzhi Liu,et al. Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method , 2007, Appl. Math. Lett..

[3] Jianhua Shen,et al. Impulsive stabilization of functional differential equations by Lyapunov-Razumikhin functions , 1999 .

[4] Daoyi Xu,et al. Stability Analysis of Delay Neural Networks With Impulsive Effects , 2005, IEEE Trans. Circuits Syst. II Express Briefs.

[5] Shujin Wu,et al. Exponential stability of functional differential systems with impulsive effect on random moments , 2005 .

[6] Zhiguo Luo,et al. Stability of impulsive functional differential equations via the Liapunov functional , 2009, Appl. Math. Lett..

[7] L. Berezansky,et al. Exponential Stability of Linear Delay Impulsive Differential Equations , 1993 .

[8] Xinzhi Liu,et al. The method of Lyapunov functionals and exponential stability of impulsive systems with time delay , 2007 .

[9] Jin Zhou,et al. Average Consensus in Delayed Networks of Dynamic Agents with Impulsive Effects , 2009, Complex.

[10] Jin Zhou,et al. Synchronization in complex delayed dynamical networks with impulsive effects , 2007 .

[11] Xinzhi Liu,et al. Stability Criteria for Impulsive Systems With Time Delay and Unstable System Matrices , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.