Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics
This paper addresses the global consensus of nonlinear multiagent systems with asymmetrically coupled identical agents. By employing a Lyapunov function and graph theory, a sufficient condition is presented for the global exponential consensus of the multiagent system. The analytical result shows th...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/407269 |
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| author | Wei Qian Lei Wang |
| author_facet | Wei Qian Lei Wang |
| author_sort | Wei Qian |
| collection | DOAJ |
| description | This paper addresses the global consensus of nonlinear multiagent systems with asymmetrically coupled identical agents. By employing a Lyapunov function and graph theory, a sufficient condition
is presented for the global exponential consensus of the multiagent system. The analytical result shows that, for a weakly connected communication graph, the algebraic connectivity of a redefined symmetric matrix associated with the directed graph is used to evaluate the global consensus of the multiagent system with nonlinear dynamics under the common linear consensus protocol. The presented condition is quite simple and easily verified, which can be effectively used to design consensus protocols of various weighted and directed communications. A numerical simulation is also given to show the effectiveness of the analytical result. |
| format | Article |
| id | doaj-art-81ecb318aa074b369681b624ef912586 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-81ecb318aa074b369681b624ef9125862025-02-03T01:09:33ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/407269407269Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear DynamicsWei Qian0Lei Wang1School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo, Henan 454000, ChinaSchool of Mathematics and Systems Science and LMIB, Beihang University, Beijing 100191, ChinaThis paper addresses the global consensus of nonlinear multiagent systems with asymmetrically coupled identical agents. By employing a Lyapunov function and graph theory, a sufficient condition is presented for the global exponential consensus of the multiagent system. The analytical result shows that, for a weakly connected communication graph, the algebraic connectivity of a redefined symmetric matrix associated with the directed graph is used to evaluate the global consensus of the multiagent system with nonlinear dynamics under the common linear consensus protocol. The presented condition is quite simple and easily verified, which can be effectively used to design consensus protocols of various weighted and directed communications. A numerical simulation is also given to show the effectiveness of the analytical result.http://dx.doi.org/10.1155/2014/407269 |
| spellingShingle | Wei Qian Lei Wang Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics Abstract and Applied Analysis |
| title | Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics |
| title_full | Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics |
| title_fullStr | Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics |
| title_full_unstemmed | Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics |
| title_short | Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics |
| title_sort | eigenvalue based approach for global consensus in multiagent systems with nonlinear dynamics |
| url | http://dx.doi.org/10.1155/2014/407269 |
| work_keys_str_mv | AT weiqian eigenvaluebasedapproachforglobalconsensusinmultiagentsystemswithnonlineardynamics AT leiwang eigenvaluebasedapproachforglobalconsensusinmultiagentsystemswithnonlineardynamics |