Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations

LIN Meili,SUN Zhendong

系统科学与复杂性(英文) ›› 2016, Vol. 29 ›› Issue (2) : 350-366.

PDF(370 KB)
PDF(370 KB)
系统科学与复杂性(英文) ›› 2016, Vol. 29 ›› Issue (2) : 350-366. DOI: 10.1007/s11424-015-4175-0

Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations

    LIN Meili1 , SUN Zhendong2
作者信息 +

Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations

    LIN Meili1 , SUN Zhendong2
Author information +
文章历史 +

Abstract

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.

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LIN Meili,SUN Zhendong. Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations. 系统科学与复杂性(英文), 2016, 29(2): 350-366 https://doi.org/10.1007/s11424-015-4175-0
LIN Meili , SUN Zhendong. Approximating the Spectral Abscissa for Switched Linear Systems via Coordinate Transformations. Journal of Systems Science and Complexity, 2016, 29(2): 350-366 https://doi.org/10.1007/s11424-015-4175-0
PDF(370 KB)

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