摘要
在这份报纸,随机的冲动的微分方程的 asymptotical p 时刻稳定性被学习,并且为这个系统的小答案保证 asymptotical p 时刻稳定性的一个比较理论从我们能从哪个发现一个随机的冲动的微分系统是否只从一个确定的比较系统是稳定的被建立。作为这个理论的一个应用程序,我们控制随机的陈系统使用的混乱冲动的方法,和一个稳定的区域也被推出。最后,数字模拟验证我们的方法的可行性。
In this paper, the asymptotical p-moment stabifity of stochastic impulsive differential equations is studied, and a comparison theory to ensure the asymptotieal p-moment stability for trivial solution of this system is established, from which we can find out whether a stochastic impulsive differential system is stable just from a deterministic comparison system. As an application of this theory, we control the chaos of stochastic Chen system using impulsive method, and a stable region is deduced too. Finally, numerical simulations verify the feasibility of our method.
基金
Supported by National Natural Science Foundation of China under Grant Nos.10902085 and 10902062