| Title:
|
Consensus of a two-agent system with nonlinear dynamics and time-varying delay (English) |
| Author:
|
Cheng, Ye |
| Author:
|
Shi, Bao |
| Author:
|
Ding, Liangliang |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
66 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
397-411 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
To explore the impacts of time delay on nonlinear dynamics of consensus models, we incorporate time-varying delay into a two-agent system to study its long-time behaviors. By the classical 3/2 stability theory, we establish a sufficient condition for the system to experience unconditional consensus. Numerical examples show the effectiveness of the proposed protocols and present possible Hopf bifurcations when the time delay changes. (English) |
| Keyword:
|
consensus |
| Keyword:
|
multi-agent system |
| Keyword:
|
nonlinear dynamics |
| Keyword:
|
time-varying delay |
| Keyword:
|
Hopf bifurcation |
| MSC:
|
34A34 |
| MSC:
|
34D05 |
| MSC:
|
34K25 |
| idZBL:
|
07361062 |
| idMR:
|
MR4263158 |
| DOI:
|
10.21136/AM.2021.0341-19 |
| . |
| Date available:
|
2021-05-20T13:35:30Z |
| Last updated:
|
2023-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148901 |
| . |
| Reference:
|
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