关于切换正线性系统的共同Lyapunov函数  

On Common Lyapunov Functions for Switched Positive Linear Systems

作　　者：赵军[1] 高岩[2] 

机构地区：[1]湖北医药学院数理教研室,湖北十堰442000 [2]上海理工大学管理学院,上海200093

出　　处：《数学的实践与认识》2013年第9期213-218,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671126);上海市研究生创新基金(JWCXSL0901)

摘　　要：研究切换正线性系统的共同Lyapunov函数.分别就系统矩阵是三角阵和分块三角阵的情况给出了存在一类共同Lyapunov函数的证明,并基于证明过程给出了共同Lyapunov函数的一种求法.最后通过数值算例验证结果.The common Lyapunov functions of switched positive linear systems are re- searched. For the switched positive linear systems whose subsystems＇ matrices are lower triangular or upper triangular, it is proved that there exist common LCLFs. Then, two al- gorithms of computing a common LCLF are given. We further discuss the cases that a set of matrices have the same block lower triangular forms and upper triangular forms. Finally, numerical examples illustrate the results.

关 键 词：切换线性系统 正线性系统 共同LYAPUNOV函数 

分 类 号：O151.21[理学—数学]