| Title:
|
Upper bound estimation of the spectral abscissa for switched linear systems via coordinate transformations (English) |
| Author:
|
Lin, Meili |
| Author:
|
Sun, Zhendong |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2018 |
| Pages:
|
576-592 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
switched linear systems |
| Keyword:
|
matrix set measure |
| Keyword:
|
spectral abscissa |
| Keyword:
|
coordinate transformations |
| MSC:
|
93D20 |
| idZBL:
|
Zbl 06987023 |
| idMR:
|
MR3844833 |
| DOI:
|
10.14736/kyb-2018-3-0576 |
| . |
| Date available:
|
2018-11-02T10:21:25Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147437 |
| . |
| Reference:
|
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| . |
