A Prescribed-Time Consensus Algorithm for Distributed Time-Varying Optimization Based on Multiagent Systems
This paper presents a distributed optimization algorithm for time-varying objective functions utilizing a prescribed-time convergent multi-agent system within undirected communication networks. Departing from conventional time-invariant optimization paradigms with static optimal solutions, our appro...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/13/2190 |
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| author | Yanling Zheng Siyu Liu Jie Zhong |
| author_facet | Yanling Zheng Siyu Liu Jie Zhong |
| author_sort | Yanling Zheng |
| collection | DOAJ |
| description | This paper presents a distributed optimization algorithm for time-varying objective functions utilizing a prescribed-time convergent multi-agent system within undirected communication networks. Departing from conventional time-invariant optimization paradigms with static optimal solutions, our approach specifically addresses the challenge of tracking dynamic optimal trajectories in evolving environments. A novel continuous-time distributed optimization algorithm is developed based on prescribed-time consensus, guaranteeing the consensus attainment among agents within a user-defined timeframe while asymptotically converging to the time-dependent optimal solution. The proposed methodology enables explicit predetermination of convergence duration, representing a significant advancement over existing asymptotic convergence methods. Moreover, two simulation examples on the rendezvous problem and multi-robots control are presented to validate the theoretical results, exhibiting precise time-controlled convergence characteristics and effective tracking performance for time-varying optimization targets. |
| format | Article |
| id | doaj-art-986c8fd38c414f2e8b678affb57b4abd |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-986c8fd38c414f2e8b678affb57b4abd2025-08-20T03:16:46ZengMDPI AGMathematics2227-73902025-07-011313219010.3390/math13132190A Prescribed-Time Consensus Algorithm for Distributed Time-Varying Optimization Based on Multiagent SystemsYanling Zheng0Siyu Liu1Jie Zhong2School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, ChinaCollege of Engineering, Zhejiang Normal University, Jinhua 321004, ChinaCollege of Mathematics and Computer Science, Zhejiang Normal University, Jinhua 321004, ChinaThis paper presents a distributed optimization algorithm for time-varying objective functions utilizing a prescribed-time convergent multi-agent system within undirected communication networks. Departing from conventional time-invariant optimization paradigms with static optimal solutions, our approach specifically addresses the challenge of tracking dynamic optimal trajectories in evolving environments. A novel continuous-time distributed optimization algorithm is developed based on prescribed-time consensus, guaranteeing the consensus attainment among agents within a user-defined timeframe while asymptotically converging to the time-dependent optimal solution. The proposed methodology enables explicit predetermination of convergence duration, representing a significant advancement over existing asymptotic convergence methods. Moreover, two simulation examples on the rendezvous problem and multi-robots control are presented to validate the theoretical results, exhibiting precise time-controlled convergence characteristics and effective tracking performance for time-varying optimization targets.https://www.mdpi.com/2227-7390/13/13/2190distributed optimizationprescribed-time consensustime-varying functionmultiagent system |
| spellingShingle | Yanling Zheng Siyu Liu Jie Zhong A Prescribed-Time Consensus Algorithm for Distributed Time-Varying Optimization Based on Multiagent Systems Mathematics distributed optimization prescribed-time consensus time-varying function multiagent system |
| title | A Prescribed-Time Consensus Algorithm for Distributed Time-Varying Optimization Based on Multiagent Systems |
| title_full | A Prescribed-Time Consensus Algorithm for Distributed Time-Varying Optimization Based on Multiagent Systems |
| title_fullStr | A Prescribed-Time Consensus Algorithm for Distributed Time-Varying Optimization Based on Multiagent Systems |
| title_full_unstemmed | A Prescribed-Time Consensus Algorithm for Distributed Time-Varying Optimization Based on Multiagent Systems |
| title_short | A Prescribed-Time Consensus Algorithm for Distributed Time-Varying Optimization Based on Multiagent Systems |
| title_sort | prescribed time consensus algorithm for distributed time varying optimization based on multiagent systems |
| topic | distributed optimization prescribed-time consensus time-varying function multiagent system |
| url | https://www.mdpi.com/2227-7390/13/13/2190 |
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