Constructing Common Quadratic Lyapunov Functions for a Class of Stable Matrices  

作　　者：ZHU Ya-Hong CHENG Dai-Zhan QIN Hua-Shu 

机构地区：[1]Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080

出　　处：《自动化学报》2007年第2期202-204,共3页Acta Automatica Sinica

基　　金：Supported by National Natural Science Foundation of P.R.China(60274010,60343001,60221301,60334040)

摘　　要：Narendra 和 Balakrishnan 建议了一个方法构造普通二次的 Lyapunov 功能(CQLF )[1 ] ，稳定的矩阵的 whena 集合是可交换的。这份报纸的目的是概括方法到非可交换、非可解决的大小写。一个修改构造算法被建议，某些条件被提供向是的矩阵保证结果 CQLF。下次，讨论的问题是一个稳定的矩阵什么时候能与 CQLF 被加到一套矩阵为扩大集合构造新 CQLF。Narendra and Balakrishnan proposed a way to construct a common quadratic Lyapunov function （CQLF）, when a set of stable matrices axe commutative. The purpose of this paper is to generalize the method to non-commutative and non-solvable case. A modified constructing algorithm is proposed and certain conditions axe provided to assure the resulting matrix being a CQLF. Next, the problem discussed is when a stable matrix can be added to a set of matrices with CQLF to construct a new CQLF for the enlarged set.

关 键 词：二次不等式 自动化 控制理论 LYAPUNOV函数 

分 类 号：TP27[自动化与计算机技术—检测技术与自动化装置]