广义非线性系统的极限值问题  

The External Problems of Nonlinear Singular Systems

作　　者：王伟[1] 杨建辉[1] 刘永清[1] 

机构地区：[1]华南理工大学自动控制工程系,广州510640

出　　处：《控制理论与应用》2000年第2期251-254,共4页Control Theory & Applications

基　　金：广东省自然科学基金资助项目!(9741 0 1 )

摘　　要：应用单调迭代法和上下解的方法讨论了广义非线性系统的极限值问题 ,给出了解存在性的构造性证明 ,所构造的逼近序列是线性系统的解 ,因此较易实现数值计算 .并且所得结果推广了非线性微分系统的结果 .In this paper,the external problems of nonlinear singular systems are discussed by using monotone iterative technique and the method of upper and lower solutions.We have proved the existence of external solutions to nonlinear singular systems in a constructive manner.Our sequences constructed are the solutions of linear systems,therefore it is easy to realize the numerical calculation. And it has extended to nonlinear differential systems.

关 键 词：单调迭代法 极限值问题 广义非线性系统 

分 类 号：TP271[自动化与计算机技术—检测技术与自动化装置]