Routh判据在双线性系统稳定性分析中的应用  

THE APPLICATION OF ROUTH CRITERION IN THE ANALYSIS OF THE STABILITY OF BILINEAR SYSTEMS

作　　者：徐光杰[1] 韩建勋[1] 

机构地区：[1]天津理工学院自动化工程系,天津大学

出　　处：《天津理工学院学报》1995年第2期26-29,共4页Journal of Tianjin Institute of Technology

摘　　要：本文对双线性系统的稳定性进行了一些探讨，提出了一种输入ｕ（ｔ）为慢时变函数时的双线性系统稳定性分析方法。该方法是从时变系统定性分析的角度出发，逐步推广到双线性系统的稳定性分析。并且，分析过程主要用到的是线性系统中最常用的Ｒｏｕｔｈ判据，所以分析方法简便，易于掌握。In this paper the stability of a class of bilinear systems is studied and a analyti-cal method on the stability of some bilinear systems in which input u(t)is slowly changingis given. This analytical mathod is initially investigated for the time varying systems,thendeveloped for the bilinear systems. The method is derived from Routh criterion,thereforeit would be very conveniently and easily grasped by everyone.

关 键 词：双线性系统 稳定性 Routh判据 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]