Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations

被引：0

作者：

Meili Lin

Zhendong Sun

机构：

[1] South China University of Technology,College of Automation Science and Engineering

[2] Chinese Academy of Sciences,Key Lab of Systems & Control, Academy of Mathematics & Systems Science

来源：

Journal of Systems Science and Complexity | 2016年 / 29卷

关键词：

Coordinate transformations; matrix set measure; spectral abscissa; switched linear systems;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：350 / 366

页数：16

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