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

Title:

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

Creator:

Lin, Meili and Sun, Zhendong

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8a2617a2-bde7-496e-816d-33f59a475ae5
uuid:8a2617a2-bde7-496e-816d-33f59a475ae5
doi:10.14736/kyb-2018-3-0576

Subject:

switched linear systems, matrix set measure, spectral abscissa, and coordinate transformations

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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 μ1 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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Kybernetika | 2018 Volume:54 | Number:3

Harvested from:

CDK

Metadata only:

false