Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links
This paper is concerned with the leader-following consensus problem in mean-square for a class of discrete-time multiagent systems. The multiagent systems under consideration are the directed and contain arbitrary discrete time-delays. The communication links are assumed to be time-varying and stoch...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/158731 |
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| _version_ | 1832559055890022400 |
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| author | Yurong Liu Hamid Reza Karimi Xiaohui Liu |
| author_facet | Yurong Liu Hamid Reza Karimi Xiaohui Liu |
| author_sort | Yurong Liu |
| collection | DOAJ |
| description | This paper is concerned with the leader-following consensus problem in mean-square for a class of discrete-time multiagent systems. The multiagent systems under consideration are the directed and contain arbitrary discrete time-delays. The communication links are assumed to be time-varying and stochastic. It is also assumed that some agents in the network are well informed and act as leaders, and the others are followers. By introducing novel Lyapunov functionals and employing some new analytical techniques, sufficient conditions are derived to guarantee the leader-following consensus in mean-square for the concerned multiagent systems, so that all the agents are steered to an anticipated state target. A numerical example is presented to illustrate the main results. |
| format | Article |
| id | doaj-art-1d2d8791930d4d8387654dd0f54b726d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1d2d8791930d4d8387654dd0f54b726d2025-02-03T01:30:49ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/158731158731Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication LinksYurong Liu0Hamid Reza Karimi1Xiaohui Liu2Department of Mathematics, Yangzhou University, Yangzhou 225002, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwaySchool of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094, ChinaThis paper is concerned with the leader-following consensus problem in mean-square for a class of discrete-time multiagent systems. The multiagent systems under consideration are the directed and contain arbitrary discrete time-delays. The communication links are assumed to be time-varying and stochastic. It is also assumed that some agents in the network are well informed and act as leaders, and the others are followers. By introducing novel Lyapunov functionals and employing some new analytical techniques, sufficient conditions are derived to guarantee the leader-following consensus in mean-square for the concerned multiagent systems, so that all the agents are steered to an anticipated state target. A numerical example is presented to illustrate the main results.http://dx.doi.org/10.1155/2013/158731 |
| spellingShingle | Yurong Liu Hamid Reza Karimi Xiaohui Liu Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links Abstract and Applied Analysis |
| title | Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links |
| title_full | Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links |
| title_fullStr | Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links |
| title_full_unstemmed | Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links |
| title_short | Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links |
| title_sort | distributed consensus for discrete time directed networks of multiagents with time delays and random communication links |
| url | http://dx.doi.org/10.1155/2013/158731 |
| work_keys_str_mv | AT yurongliu distributedconsensusfordiscretetimedirectednetworksofmultiagentswithtimedelaysandrandomcommunicationlinks AT hamidrezakarimi distributedconsensusfordiscretetimedirectednetworksofmultiagentswithtimedelaysandrandomcommunicationlinks AT xiaohuiliu distributedconsensusfordiscretetimedirectednetworksofmultiagentswithtimedelaysandrandomcommunicationlinks |