Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations  

作　　者：LIN Meili SUN Zhendong 

机构地区：[1]College of Automation Science and Engineering,South China University of Technology [2]Key Lab of Systems & Control,Academy of Mathematics & Systems Science,Chinese Academy of Sciences

出　　处：《Journal of Systems Science & Complexity》2016年第2期350-366,共17页系统科学与复杂性学报（英文版）

基　　金：supported by the National Key Basic Research Program(973 Plan)under Grant No.2014CB845302;the National Natural Science Foundation of China under Grant No.61273121

摘　　要：In this paper,an approach of square coordinate transformation is proposed to approximate the spectral abscissa for continuous-time switched linear systems.By applying elementary transformations iteratively,a series of minimums of least μ1 matrix set measures are obtained,which are utilized to approximate the spectral abscissa of the switched system.The approach is developed into tractable numerical algorithms that provide upper bound estimates of the spectral abscissa.Numerical simulations show the effectiveness of the proposed method.

关 键 词：Coordinate transformations matrix set measure spectral abscissa switched linear systems. 

分 类 号：O241.6[理学—计算数学]