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一类三阶脉冲微分系统的稳定性
  • 期刊名称：江苏大学学报(自然科学版)
  • 时间：0
  • 页码：321-324
  • 语言：中文
  • 分类：F232[经济管理—会计学;经济管理—国民经济] TP272[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]江苏大学理学院,江苏镇江212013
  • 相关基金：国家自然科学基金资助项目（70871056）
  • 相关项目：系统范式及延迟脉冲金融投资演化均衡模型的创新性研究
作者： 朱清|姚洪兴|
关键词： 脉冲微分系统, LYAPUNOV函数, 稳定性, impulsive differential system, Lyapunov function, stability
中文摘要：

通过构造等价系统和Lyapunov函数，研究了一类三阶脉冲微分系统零解的稳定性．并通过Lyapunov直接方法给出一类三阶脉冲微分系统零解的稳定性的判定准则．当P（t）=1时得出推论：一般三阶脉冲微分系统零解的一致稳定的充分条件．同时研究了脉冲效应对系统稳定性的关键影响，并给出相关例子进行数值仿真．

英文摘要：

By constructing the equivalent system and Lyapunov function, the stability for a kind of third order impulsive differential system at fixed times is investigated. Stability is obtained for a kind of impulsive differential system at fixed times by themethods involving construction of Lyapunov function. So the conclusion is drawn that p （t） = 1 is the full condition of uniform stability for a generic impulsive differential system at fixed times. The impulsive effect on the stability of the system of crucial impact is also studied. Finally the application of this method is illustrated with some examples.

同期刊论文项目
系统范式及延迟脉冲金融投资演化均衡模型的创新性研究
期刊论文 57 会议论文 4
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