一类非线性动力系统实用稳定域的研究及应用  

Study on Practical Stability Domain Estimates of a Class of Nonlinear Dynamical System with Application

作　　者：杨玉华[1] 

机构地区：[1]华北电力大学数理系,河北保定071003

出　　处：《数学的实践与认识》2012年第13期189-192,共4页Mathematics in Practice and Theory

摘　　要：借助于李雅普诺夫函数讨论了一类非线性动力系统的实用稳定性和实用稳定域的估计问题,得到了实用稳定域存在的充分条件,给出了一类动力系统实用稳定域的具体形式.通过具体实例说明了所给条件的实用性,改进了已有的结果.In this paper, the practical stability and the estimates of practical stability domains of some nonlinear dynamical system are discussed by Lyapunov function, some sufficient conditions of the existence of domain of practical stability are given, and the method of constructing practical stability domains of a kind of dynamical system are obtained, which improved the result in the proceeding literature.

关 键 词：动力系统 实用稳定 实用稳定域 实用稳定域估计 李雅普诺夫函数 

分 类 号：O19[理学—数学]