| Title:
|
Synchronization of time-delayed systems with discontinuous coupling (English) |
| Author:
|
Shi, Hong-jun |
| Author:
|
Miao, Lian-ying |
| Author:
|
Sun, Yong-zheng |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
53 |
| Issue:
|
5 |
| Year:
|
2017 |
| Pages:
|
765-779 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper concerns the synchronization of time-delayed systems with periodic on-off coupling. Based on the stability theory and the comparison theorem of time-delayed differential equations, sufficient conditions for complete synchronization of systems with constant delay and time-varying delay are established. Compared with the results based on the Krasovskii-Lyapunov method, the sufficient conditions established in this paper are less restrictive. The theoretical results show that two time-delayed systems can achieve complete synchronization when the average coupling strength is sufficiently large. Numeric evidence shows that the synchronization speed depends on the coupling strength, on-off rate and time delay. (English) |
| Keyword:
|
time-delayed system |
| Keyword:
|
complete synchronization |
| Keyword:
|
discontinuous coupling |
| MSC:
|
34F05 |
| MSC:
|
34H10 |
| idZBL:
|
Zbl 06861623 |
| idMR:
|
MR3750102 |
| DOI:
|
10.14736/kyb-2017-5-0765 |
| . |
| Date available:
|
2018-02-26T11:38:46Z |
| Last updated:
|
2018-05-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147092 |
| . |
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