| Title:
|
Delay-dependent stability of high-order neutral systems (English) |
| Author:
|
Zhao, Yanbin |
| Author:
|
Hu, Guang-Da |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
5 |
| Year:
|
2021 |
| Pages:
|
737-749 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note, we are concerned with delay-dependent stability of high-order delay systems of neutral type. A bound of unstable eigenvalues of the systems is derived by the spectral radius of a nonnegative matrix. The nonnegative matrix is related to the coefficient matrices. A stability criterion is presented which is a necessary and sufficient condition for the delay-dependent stability of the systems. Based on the criterion, a numerical algorithm is provided which avoids the computation of the coefficients of the characteristic function. Under some conditions, the presented results are less conservative than those reported. A numerical example is given to illustrate the main results. (English) |
| Keyword:
|
delay-dependent stability |
| Keyword:
|
high-order neutral delay systems |
| Keyword:
|
bound of unstable eigenvalues |
| Keyword:
|
argument principle |
| Keyword:
|
nonnegative matrix |
| MSC:
|
15A18 |
| MSC:
|
34K06 |
| MSC:
|
34K20 |
| idZBL:
|
Zbl 07478637 |
| idMR:
|
MR4363234 |
| DOI:
|
10.14736/kyb-2021-5-0737 |
| . |
| Date available:
|
2022-01-05T07:52:09Z |
| Last updated:
|
2022-02-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149300 |
| . |
| Reference:
|
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| . |
