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.
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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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

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