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关于切换正线性系统的共同Lyapunov函数

On Common Lyapunov Functions for Switched Positive Linear Systems
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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.
作者 赵军 高岩
机构地区 湖北医药学院数理教研室 上海理工大学管理学院
出处 《数学的实践与认识》 CSCD 北大核心 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)
关键词 切换线性系统 正线性系统 共同LYAPUNOV函数 switched linear systems positive linear systems common Lyapunov functions
分类号 O151.21 [理学—基础数学]
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参考文献10

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二级参考文献12

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数学的实践与认识
2013年 第9期

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