Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying Delay
This paper addresses a distributed consensus optimization problem of a first-order multiagent system with time-varying delay. A continuous-time distributed optimization algorithm is proposed. Different from most ways of solving distributed optimization problem, the Lyapunov-Razumikhin theorem is app...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/7937916 |
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| _version_ | 1832551121427628032 |
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| author | Junxiu Yan Hui Yu |
| author_facet | Junxiu Yan Hui Yu |
| author_sort | Junxiu Yan |
| collection | DOAJ |
| description | This paper addresses a distributed consensus optimization problem of a first-order multiagent system with time-varying delay. A continuous-time distributed optimization algorithm is proposed. Different from most ways of solving distributed optimization problem, the Lyapunov-Razumikhin theorem is applied to the convergence analysis instead of the Lyapunov-Krasovskii functionals with LMI conditions. A sufficient condition for the control parameters is obtained to make all the agents converge to the optimal solution of the system. Finally, an example is given to validate the effectiveness of our theoretical result. |
| format | Article |
| id | doaj-art-7761393138084624ac48a21c95965701 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-7761393138084624ac48a21c959657012025-02-03T06:04:56ZengWileyJournal of Control Science and Engineering1687-52491687-52572017-01-01201710.1155/2017/79379167937916Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying DelayJunxiu Yan0Hui Yu1College of Science, China Three Gorges University, Yichang 443002, ChinaCollege of Science, China Three Gorges University, Yichang 443002, ChinaThis paper addresses a distributed consensus optimization problem of a first-order multiagent system with time-varying delay. A continuous-time distributed optimization algorithm is proposed. Different from most ways of solving distributed optimization problem, the Lyapunov-Razumikhin theorem is applied to the convergence analysis instead of the Lyapunov-Krasovskii functionals with LMI conditions. A sufficient condition for the control parameters is obtained to make all the agents converge to the optimal solution of the system. Finally, an example is given to validate the effectiveness of our theoretical result.http://dx.doi.org/10.1155/2017/7937916 |
| spellingShingle | Junxiu Yan Hui Yu Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying Delay Journal of Control Science and Engineering |
| title | Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying Delay |
| title_full | Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying Delay |
| title_fullStr | Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying Delay |
| title_full_unstemmed | Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying Delay |
| title_short | Distributed Optimization of Multiagent Systems in Directed Networks with Time-Varying Delay |
| title_sort | distributed optimization of multiagent systems in directed networks with time varying delay |
| url | http://dx.doi.org/10.1155/2017/7937916 |
| work_keys_str_mv | AT junxiuyan distributedoptimizationofmultiagentsystemsindirectednetworkswithtimevaryingdelay AT huiyu distributedoptimizationofmultiagentsystemsindirectednetworkswithtimevaryingdelay |