Stability analysis of complex-valued impulsive systems with time delay

In this paper, the global exponential stability of complex-valued impulsive systems is addressed.Some new sufficient conditions are obtained to guarantee the global exponential stability by the Lyapunov-Razumikhin theory, which extend and improve most of recent results.Moreover, The obtained Razumikhin conditions are very simple and efficient to verify in real problems and helpful to investigate the stability of delayed neural networks and synchronization problems of chaotic systems under impulsive perturbation.Finally, a numerical example is given to show the effectiveness of the obtained results .
Complex-valued impulsive systems time delay stability Razumikhin technique Lyapunov technique
Xu Zeng Chuandong Li Xing He Tingwen Huang
School of Electronics and Information Engineering, Southwest University, Chongqing 400715, PR China Department of Mathematics, Texas A&M University at Qatar, Doha, P.O.Box 23874, Qatar
国内会议
西南大学2014年全国博士生学术论坛(电子技术与信息科学领域)
重庆
英文
334-340
2014-12-01(万方平台首次上网日期,不代表论文的发表时间)