Geodesic
Upper bound estimation of the spectral abscissa for switched linear systems via coordinate transformations
Kybernetika, Tome 54 (2018) no. 3, pp. 576-592.

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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 $\mu_1$ 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.
DOI : 10.14736/kyb-2018-3-0576
Classification : 93D20
Keywords: switched linear systems; matrix set measure; spectral abscissa; coordinate transformations 
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     title = {Upper bound estimation of the spectral abscissa for switched linear systems via coordinate transformations},
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Lin, Meili; Sun, Zhendong. Upper bound estimation of the spectral abscissa for switched linear systems via coordinate transformations. Kybernetika, Tome 54 (2018) no. 3, pp. 576-592. doi : 10.14736/kyb-2018-3-0576. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0576/

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