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Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations 被引量:2

Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations
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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.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 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
关键词 Coordinate transformations matrix set measure spectral abscissa switched linear systems. 线性切换系统 坐标变换 横坐标 频谱 切换线性系统 连续时间 初等变换 数值算法
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