Static Consensus in Passifiable Linear Networks
Sufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical deterministic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered. Connection between admissible digraphs and nonsmooth hypersurface...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/9192127 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546622280564736 |
|---|---|
| author | Ibragim A. Junussov |
| author_facet | Ibragim A. Junussov |
| author_sort | Ibragim A. Junussov |
| collection | DOAJ |
| description | Sufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical deterministic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered. Connection between admissible digraphs and nonsmooth hypersurfaces (sufficient gain boundary) is established. Necessary and sufficient conditions for static consensus by output feedback in networks consisting of certain class of double integrators are rediscovered. Scalability for circle digraph in terms of gain magnitudes is studied. Examples and results of numerical simulations are presented. |
| format | Article |
| id | doaj-art-a947a49f1ba34e24b5759ee3dd6d4916 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-a947a49f1ba34e24b5759ee3dd6d49162025-02-03T06:47:55ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/91921279192127Static Consensus in Passifiable Linear NetworksIbragim A. Junussov0Department of Control Engineering, Czech Technical University in Prague, Karlovo namesti 13, 121 35 Praha 2, Czech RepublicSufficient conditions of consensus (synchronization) in networks described by digraphs and consisting of identical deterministic SIMO systems are derived. Identical and nonidentical control gains (positive arc weights) are considered. Connection between admissible digraphs and nonsmooth hypersurfaces (sufficient gain boundary) is established. Necessary and sufficient conditions for static consensus by output feedback in networks consisting of certain class of double integrators are rediscovered. Scalability for circle digraph in terms of gain magnitudes is studied. Examples and results of numerical simulations are presented.http://dx.doi.org/10.1155/2016/9192127 |
| spellingShingle | Ibragim A. Junussov Static Consensus in Passifiable Linear Networks International Journal of Differential Equations |
| title | Static Consensus in Passifiable Linear Networks |
| title_full | Static Consensus in Passifiable Linear Networks |
| title_fullStr | Static Consensus in Passifiable Linear Networks |
| title_full_unstemmed | Static Consensus in Passifiable Linear Networks |
| title_short | Static Consensus in Passifiable Linear Networks |
| title_sort | static consensus in passifiable linear networks |
| url | http://dx.doi.org/10.1155/2016/9192127 |
| work_keys_str_mv | AT ibragimajunussov staticconsensusinpassifiablelinearnetworks |