| Title:
|
Delay-dependent stability of linear multi-step methods for linear neutral systems (English) |
| Author:
|
Hu, Guang-Da |
| Author:
|
Shao, Lizhen |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
56 |
| Issue:
|
3 |
| Year:
|
2020 |
| Pages:
|
543-558 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we are concerned with numerical methods for linear neutral systems with multiple delays. For delay-dependently stable neutral systems, we ask what conditions must be imposed on linear multi-step methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. Combining with Lagrange interpolation, linear multi-step methods can be applied to the neutral systems. Utilizing the argument principle, a sufficient condition is derived for linear multi-step methods with preserving delay-dependent stability. Numerical examples are given to illustrate the main results. (English) |
| Keyword:
|
neutral systems with multiple delays |
| Keyword:
|
delay-dependent stability |
| Keyword:
|
linear multi-step method |
| Keyword:
|
Lagrange interpolation |
| Keyword:
|
argument principle |
| MSC:
|
65L05 |
| MSC:
|
65L07 |
| MSC:
|
65L20 |
| idZBL:
|
Zbl 07250736 |
| idMR:
|
MR4131742 |
| DOI:
|
10.14736/kyb-2020-3-0543 |
| . |
| Date available:
|
2020-09-02T09:25:43Z |
| Last updated:
|
2021-02-23 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148313 |
| . |
| Reference:
|
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