| Title:
|
Adaptive tracking via pinning in networks of nonidentical nodes (English) |
| Author:
|
Barajas-Ramírez, Juan Gonzalo |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
54 |
| Issue:
|
1 |
| Year:
|
2018 |
| Pages:
|
30-40 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate the control of dynamical networks for the case of nodes, that although different, can be make passive by feedback. The so-called V-stability characterization allows for a simple set of stabilization conditions even in the case of nonidentical nodes. This is due to the fact that under V-stability characterization the dynamical difference between node of a network reduces to their different passivity degrees, that is, a measure of the required feedback gain necessary to make the node stable at a desired solution. We propose a pinning control strategy that extends this approach to solve the tracking problem, furthermore using an adaptive controller approach we provide a methodology to impose a common reference trajectory to a network of different nodes by pinning only a few of them to the desired solution. We illustrate our results with numerical simulation of well-known benchmark systems. (English) |
| Keyword:
|
complex networks |
| Keyword:
|
tracking problem |
| Keyword:
|
pinning control |
| Keyword:
|
adaptive control |
| MSC:
|
05C82 |
| MSC:
|
34H05 |
| MSC:
|
49K15 |
| idZBL:
|
Zbl 06861612 |
| idMR:
|
MR3780954 |
| DOI:
|
10.14736/kyb-2018-1-0030 |
| . |
| Date available:
|
2018-03-26T15:03:46Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147149 |
| . |
| Reference:
|
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| . |
