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- Publisher Website: 10.1109/CACSD.2011.6044567
- Scopus: eid_2-s2.0-80755171484
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Conference Paper: Synchronization seeking in multi-agent dynamic systems with communication uncertainties
Title | Synchronization seeking in multi-agent dynamic systems with communication uncertainties |
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Authors | |
Keywords | Eigenvalues First-order Laplacian matrices Linear matrix inequality problems Lyapunov stability theory |
Issue Date | 2011 |
Publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000119 |
Citation | The 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Denver, CO., 28-30 September 2011. In IEEE CACSD International Symposium Proceedings, 2011, p. 656-661 How to Cite? |
Abstract | This paper addresses robust consensus problems among multiple agents with uncertain parameters constrained in a given set. Specifically, the network coefficients are supposed polynomial functions of an uncertain vector constrained in a set described by polynomial inequalities. First, the paper provides a necessary and sufficient condition for robust first-order consensus based on the eigenvalues of the uncertain Laplacian matrix. Based on this condition, a sufficient condition for robust first-order consensus is derived by solving a linear matrix inequality (LMI) problem built by exploiting sum-of-squares (SOS) polynomials. Then, the paper provides a necessary and sufficient condition for robust second-order consensus through the uncertain expanded Laplacian matrix and Lyapunov stability theory. Based on this condition, a sufficient condition for robust second-order consensus is derived by solving an LMI problem built by exploiting SOS matrix polynomials. Some numerical examples illustrate the proposed results. © 2011 IEEE. |
Persistent Identifier | http://hdl.handle.net/10722/153077 |
ISBN | |
References |
DC Field | Value | Language |
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dc.contributor.author | Han, D | en_US |
dc.contributor.author | Chesi, G | en_US |
dc.contributor.author | Hung, YS | en_US |
dc.date.accessioned | 2012-07-16T09:55:45Z | - |
dc.date.available | 2012-07-16T09:55:45Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | The 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Denver, CO., 28-30 September 2011. In IEEE CACSD International Symposium Proceedings, 2011, p. 656-661 | en_US |
dc.identifier.isbn | 978-1-4577-1067-4 | - |
dc.identifier.uri | http://hdl.handle.net/10722/153077 | - |
dc.description.abstract | This paper addresses robust consensus problems among multiple agents with uncertain parameters constrained in a given set. Specifically, the network coefficients are supposed polynomial functions of an uncertain vector constrained in a set described by polynomial inequalities. First, the paper provides a necessary and sufficient condition for robust first-order consensus based on the eigenvalues of the uncertain Laplacian matrix. Based on this condition, a sufficient condition for robust first-order consensus is derived by solving a linear matrix inequality (LMI) problem built by exploiting sum-of-squares (SOS) polynomials. Then, the paper provides a necessary and sufficient condition for robust second-order consensus through the uncertain expanded Laplacian matrix and Lyapunov stability theory. Based on this condition, a sufficient condition for robust second-order consensus is derived by solving an LMI problem built by exploiting SOS matrix polynomials. Some numerical examples illustrate the proposed results. © 2011 IEEE. | - |
dc.language | eng | en_US |
dc.publisher | IEEE. The Journal's web site is located at http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000119 | - |
dc.relation.ispartof | IEEE International Symposium on Computer-Aided Control System Design Proceedings | en_US |
dc.subject | Eigenvalues | - |
dc.subject | First-order | - |
dc.subject | Laplacian matrices | - |
dc.subject | Linear matrix inequality problems | - |
dc.subject | Lyapunov stability theory | - |
dc.title | Synchronization seeking in multi-agent dynamic systems with communication uncertainties | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Han, D: dongkhan@hku.hk | en_US |
dc.identifier.email | Chesi, G: chesi@eee.hku.hk | en_US |
dc.identifier.email | Hung, YS: yshung@eee.hku.hk | - |
dc.identifier.authority | Chesi, G=rp00100 | en_US |
dc.identifier.authority | Hung, YS=rp00220 | en_US |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1109/CACSD.2011.6044567 | - |
dc.identifier.scopus | eid_2-s2.0-80755171484 | - |
dc.identifier.hkuros | 201443 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-80755171484&selection=ref&src=s&origin=recordpage | - |
dc.identifier.spage | 656 | - |
dc.identifier.epage | 661 | - |
dc.publisher.place | United States | - |
dc.description.other | The 2011 IEEE International Symposium on Computer-Aided Control System Design (CACSD), Denver, CO., 28-30 September 2011. In IEEE CACSD International Symposium Proceedings, 2011, p. 656-661 | - |
dc.identifier.scopusauthorid | Han, D=54383251000 | - |
dc.identifier.scopusauthorid | Chesi, G=7006328614 | - |
dc.identifier.scopusauthorid | Hung, YS=8091656200 | - |