Conference Paper: Asymptotic stability of dynamical networks
| Title | Asymptotic stability of dynamical networks |
|---|---|
| Authors | Liu, T3 Hill, D1 Zhao, J2 |
| Keywords | Asymptotic Stability Dynamical Networks M-Matrix Switched Systems Switching Topology |
| Issue Date | 2011 |
| Citation | Proceedings Of The 30Th Chinese Control Conference, Ccc 2011, 2011, p. 928-933 [How to Cite?] |
| Abstract | In this paper, asymptotic stability of dynamical networks with non-identical nodes is investigated. Networks with fixed and switching topologies are discussed, respectively. Different Lyapunov functions for each individual node are used, and sufficient conditions for both cases are derived to guarantee asymptotic stability of such networks. The stabilizing switching signals are identified by using the convex combination method for networks with switching topology. The results obtained are not only restricted to undirected networks, but also applicable to directed networks. A numerical example of switched network is given to show the effectiveness of the proposed results. © 2011 Chinese Assoc of Automati. |
| References | References in Scopus |
| dc.contributor.author | Liu, T |
|---|---|
| dc.contributor.author | Hill, D |
| dc.contributor.author | Zhao, J |
| dc.date.accessioned | 2012-10-25T04:55:56Z |
| dc.date.available | 2012-10-25T04:55:56Z |
| dc.date.issued | 2011 |
| dc.description.abstract | In this paper, asymptotic stability of dynamical networks with non-identical nodes is investigated. Networks with fixed and switching topologies are discussed, respectively. Different Lyapunov functions for each individual node are used, and sufficient conditions for both cases are derived to guarantee asymptotic stability of such networks. The stabilizing switching signals are identified by using the convex combination method for networks with switching topology. The results obtained are not only restricted to undirected networks, but also applicable to directed networks. A numerical example of switched network is given to show the effectiveness of the proposed results. © 2011 Chinese Assoc of Automati. |
| dc.description.nature | Link_to_subscribed_fulltext |
| dc.identifier.citation | Proceedings Of The 30Th Chinese Control Conference, Ccc 2011, 2011, p. 928-933 [How to Cite?] |
| dc.identifier.epage | 933 |
| dc.identifier.scopus | eid_2-s2.0-80053060815 |
| dc.identifier.spage | 928 |
| dc.identifier.uri | http://hdl.handle.net/10722/169830 |
| dc.language | eng |
| dc.relation.ispartof | Proceedings of the 30th Chinese Control Conference, CCC 2011 |
| dc.relation.references | References in Scopus |
| dc.subject | Asymptotic Stability |
| dc.subject | Dynamical Networks |
| dc.subject | M-Matrix |
| dc.subject | Switched Systems |
| dc.subject | Switching Topology |
| dc.title | Asymptotic stability of dynamical networks |
| dc.type | Conference_Paper |
Author Affiliations
- University of Sydney
- Northeastern University China
- Australian National University