一类半线性系统的稳定性研究  

Stability of a class of bilinear systems

作　　者：计国君[1] 周艳[1] 

机构地区：[1]厦门大学管理学院,厦门361005

出　　处：《东南大学学报（自然科学版）》2004年第6期857-861,共5页Journal of Southeast University：Natural Science Edition

摘　　要：研究了一类半线性系统的零解 (零状态 )稳定和渐近稳定性 ,考虑系统的输入信号或者控制u(t)不仅是信号本身而且为具有输出反馈的输入 ,文章的结论利用范数转换的方法来讨论 ,最后利用具体例子对结论进行了验证 .The zero solutions (or zero states) stability and the asymptotic stability of a class of differential bilinear systems are discussed. Time-varying bilinear systems with output feedback is considered. The input or control u(t) is not only a signal but also an input with outpu t feedback. The analysis is given by using norm-transformation method and an example is presented to verify our results.

关 键 词：半线性系统 范数转换方法 稳定性 

分 类 号：O175.1[理学—数学]