时滞高阶多智能体系统的一致性
Higher-Order Consensus in Multi-Agent System with Delay
DOI: 10.12677/AAM.2017.69133, PDF,    国家自然科学基金支持
作者: 文 豪, 王 晓:国防科技大学文理学院,湖南 长沙
关键词: 多智能体系统时滞一致性Lyapunov函数Multi-Agent System Delay Consensus Lyapunov Function
摘要: 本文首先通过将高阶多智能体系统的一致性问题转化为 阶线性时滞系统的稳定性,借助于Lyapunov函数方法,获得了时滞 小于某个定值时、系统可达成一致性的结果,最后利用数值仿真验证本文的结果。
Abstract: In this paper, the consensus problem of high-order multi-agent system with delay is considered. Via constructing Lyapunov function, the result of high-order multi-agent system consensus is obtained when the delay is smaller than a certain value. Finally, a numerical simulation is used to verify our main result.
文章引用:文豪, 王晓. 时滞高阶多智能体系统的一致性[J]. 应用数学进展, 2017, 6(9): 1098-1104. https://doi.org/10.12677/AAM.2017.69133

参考文献

[1] 陈杰, 方浩, 辛斌. 多智能体系统的协同群集运动控制[M]. 北京: 科学出版社, 2017.
[2] 虞文武, 温光辉, 陈冠荣, 曹进德. 多智能体系统分布式协同控制[M]. 北京: 高等教育出版社, 2016: 218-219.
[3] Hong, Y., Chen, G. and Bushnell, L. (2008) Technical Communique: Distributed Observers Design for Leader-Following Control of Mul-ti-Agent Networks. Automatica, 44, 846-850.
[Google Scholar] [CrossRef
[4] Hu, J., Hong, Y. and Gao, L. (2007) Tracking Control for Multi-Agent Consensus with an Active Leader and Variable Topology. Automatica, 42, 1177-1182.
[5] Ren, W. (2007) Second-Order Consensus Algorithm with Extensions to Switching Topologies and Reference Models. Proceedings of the 2007 American Control Conference, New York, 11-13 July 2007, 1431-1436.
[6] Ren, W. (2008) On Consensus Algorithms for Double-Integrator Dynamics. IEEE Transactions on Automatic Control, 53, 1503-1509.
[Google Scholar] [CrossRef
[7] Ren, W. and Atkins, E. (2013) Second-Order Consensus Protocols in Multiple Vehicle Systems with Local Interactions. AIAA Guidance, Navigation, and Control Conference and Exhibit, San Francisco, 15-18 August 2005, 1-13.
[8] Ren, W., Moore, K.L. and Chen, Y. (2007) High-Order and Model Reference Consensus Algorithms in Cooperative Control of MultiVehicle Systems. Journal of Dynamic Systems Measurement & Control, 129, 678-688.
[Google Scholar] [CrossRef
[9] Yu, W., Chen, G., Ren, W., et al. (2011) Distributed Higher Order Con-sensus Protocols in Multiagent Dynamical Systems. IEEE Transactions on Circuits & Systems I: Regular Papers, 58, 1924-1932.
[Google Scholar] [CrossRef
[10] Yu, W., Chen, G., Cao, M., et al. (2013) Delay-Induced Con-sensus and Quasi-Consensus in Multi-Agent Dynamical Systems. IEEE Transactions on Circuits & Systems I: Regular Papers, 60, 2679-2687.
[Google Scholar] [CrossRef
[11] Atay, F.M. (2013) The Consensus Problem in Networks with Transmission Delays. Philosophical Transactions of the Royal Society A, 371, 20120460.
[12] Gopalsamy, K. (1992) Stability and Oscillations in Delay Differential Equations of Population Dynamics. Springer Netherlands, 214-218.
[Google Scholar] [CrossRef
[13] Horn, R.A. and Johnson, C.R. (2013) Matrix Analysis. Cam-bridge University Press, Cambridge.