Upper bound estimation of the spectral abscissa for switched linear systems via coordinate transformations

Meili Lin; Zhendong Sun

Kybernetika (2018)

  • Volume: 54, Issue: 3, page 576-592
  • ISSN: 0023-5954

Abstract

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In this paper, we develop computational procedures to approximate the spectral abscissa of the switched linear system via square coordinate transformations. First, we design iterative algorithms to obtain a sequence of the least μ 1 measure. Second, it is shown that this sequence is convergent and its limit can be used to estimate the spectral abscissa. Moreover, the stopping condition of Algorithm 1 is also presented. Finally, an example is carried out to illustrate the effectiveness of the proposed method.

How to cite

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Lin, Meili, and Sun, Zhendong. "Upper bound estimation of the spectral abscissa for switched linear systems via coordinate transformations." Kybernetika 54.3 (2018): 576-592. <http://eudml.org/doc/294185>.

@article{Lin2018,
abstract = {In this paper, we develop computational procedures to approximate the spectral abscissa of the switched linear system via square coordinate transformations. First, we design iterative algorithms to obtain a sequence of the least $\mu _1$ measure. Second, it is shown that this sequence is convergent and its limit can be used to estimate the spectral abscissa. Moreover, the stopping condition of Algorithm 1 is also presented. Finally, an example is carried out to illustrate the effectiveness of the proposed method.},
author = {Lin, Meili, Sun, Zhendong},
journal = {Kybernetika},
keywords = {switched linear systems; matrix set measure; spectral abscissa; coordinate transformations},
language = {eng},
number = {3},
pages = {576-592},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Upper bound estimation of the spectral abscissa for switched linear systems via coordinate transformations},
url = {http://eudml.org/doc/294185},
volume = {54},
year = {2018},
}

TY - JOUR
AU - Lin, Meili
AU - Sun, Zhendong
TI - Upper bound estimation of the spectral abscissa for switched linear systems via coordinate transformations
JO - Kybernetika
PY - 2018
PB - Institute of Information Theory and Automation AS CR
VL - 54
IS - 3
SP - 576
EP - 592
AB - In this paper, we develop computational procedures to approximate the spectral abscissa of the switched linear system via square coordinate transformations. First, we design iterative algorithms to obtain a sequence of the least $\mu _1$ measure. Second, it is shown that this sequence is convergent and its limit can be used to estimate the spectral abscissa. Moreover, the stopping condition of Algorithm 1 is also presented. Finally, an example is carried out to illustrate the effectiveness of the proposed method.
LA - eng
KW - switched linear systems; matrix set measure; spectral abscissa; coordinate transformations
UR - http://eudml.org/doc/294185
ER -

References

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