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应用科学学报 ›› 2002, Vol. 20 ›› Issue (3): 272-274.

• 论文 • 上一篇    下一篇

非线性随机系统解耦问题:微分几何方法

伏玉笋, 田作华, 施颂椒   

  1. 上海交通大学自动化研究所, 上海 200030
  • 收稿日期:2000-12-19 修回日期:2001-07-29 出版日期:2002-09-30 发布日期:2002-09-30
  • 作者简介:伏玉笋(1972-),男,甘肃秦安人,博士;田作华(1946-),男,江苏盐城人,教授,博导;施颂椒(1933-),男,上海人,教授,博导.

The Decoupling Problem of Stochastic Nonlinear Systems: Differential Geometry Method

FU Yu-sun, TIAN Zuo-hua, SHI Song-jiao   

  1. Institute of Automation, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2000-12-19 Revised:2001-07-29 Online:2002-09-30 Published:2002-09-30

PDF

103

被引次数

9

摘要： 研究了非线性随机系统的解耦问题.结果表明:非线性随机系统的解耦问题可解,当且仅当与其对应的确定性系统解耦问题可解.由此给出了非线性随机系统解耦问题可解的充要条件.

关键词: 解耦, 非线性随机系统, 微分几何方法

Abstract: This paper investigates the decoupling problem of stochastic nonlinear systems. It is showed that the decoupling problem of stochastic nonlinear systems can be resolved only if the problem of the deterministic systems can be resolved. The sufficient and necessary condition for the problem is given.

Key words: differential geometry method, decoupling, stochastic nonlinear systems

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