关于李雅普诺夫函数的几点注记  

Some notes on Lyapunov function

作　　者：徐助跃 

机构地区：[1]湘西自治州民族广播电视大学教务处,湖南吉首416000

出　　处：《湖南文理学院学报（自然科学版）》2013年第1期1-4,共4页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：国家开放大学立项重点科研课题(Q2705E);湖南省科学技术厅科技计划一般项目(2012FJ4334)

摘　　要：给出了关于李雅普诺夫函数的3个定义和3个定理,举例说明了所得定义和定理的应用,并给出了利用广义霍维茨条件构造非线性系统李雅普诺夫函数的"三步法".Three definitions and three theorems of Lyapunov function were put forward, and then these definitions and theorems were illustrated with some examples. Finally, under the generalized Hurwitz condition, the ＂three-step method＂ was put forward to construct Lyapunov function of nonlinear system.

关 键 词：李雅普诺夫函数 广义霍维茨条件 非线性系统 线性系统 

分 类 号：O175[理学—数学]