摘要
针对一类非线性金融系统复杂性的问题,通过加入脉冲和时间延迟反馈控制,对其稳定性进行了研究.消除了时间延迟的长短对系统稳定性的影响,建立了非线性微分方程全局指数稳定的判定准则,证明了系统达到全局指数稳定状态的有效条件,求得了使金融系统达到全局指数稳定的反馈强度的要求和脉冲间隔的范围.利用Matlab软件对该系统进行数值仿真,验证了该方法的可行性和有效性.结果表明了脉冲和时间延迟反馈控制可以有效控制系统的稳定性.
As to a financial system with time-delayed feedback and impulses,the global exponential stability of the system was considered.By eliminating the influence of the length of time delay,a new criteria on global exponential stability of nonlinear differential system was established.The conditions of feedback strength and impulsive interval were worked out in order to stabilize the financial impulsive delay system.Finally,numerical simulations were presented to verify the theoretical results.It is concluded that impulses and time-delayed feedbacks can control the stability of system effectively.
出处
《江苏大学学报（自然科学版）》
EI
CAS
北大核心
2011年第2期241-244,共4页
Journal of Jiangsu University：Natural Science Edition
基金
国家自然科学基金资助项目(70871056)
关键词
金融系统
全局指数稳定
脉冲
时间延迟
反馈强度
financial system
global exponential stability
impulses
time-delayed
feedback strength
