固定拓扑下带有时延的二阶多智能体系统的一致性问题
Consensus Problem of Multi-Agent Systems with Time-Delay under Fixed Topology
DOI: 10.12677/AAM.2019.88163, PDF,   
作者: 韩摩西, 唐 芳：新疆师范大学数学科学学院，新疆 乌鲁木齐
关键词: 多智能体系统；时延；Hopf分支；一致性；Multi-Agent； Time-Delay； Hopf Bifurcation； Consensus
摘要: 本文研究了带有时延的二阶多智能体系统在固定拓扑下的一致性问题，通过Hopf分支方法解出系统的特征方程的纯虚根，进一步，通过分析得到了该系统达到一致性的充要条件。
Abstract: This paper studies the consensus problem of second-order multi-agent systems with time-delay un-der fixed topology. The pure imaginary roots of the characteristic equation of the system are solved by Hopf bifurcation method. Further, the necessary and sufficient conditions for the conditions for the consistency of the system are obtained through analysis.
文章引用：韩摩西, 唐芳. 固定拓扑下带有时延的二阶多智能体系统的一致性问题[J]. 应用数学进展, 2019, 8(8): 1392-1397. https://doi.org/10.12677/AAM.2019.88163

参考文献

[1] Reynolds, C. (1987) Flocks, Birds and Schools: A Distributed Behavioral Model. Computer Graphics, 21, 25-34. [Google Scholar] [CrossRef] 
[2] Breder, C.M. (1954) Equations Descriptive of Fish Schools and Other Animal Aggregations. Ecology, 35, 361-370. [Google Scholar] [CrossRef] 
[3] Vicsek, T., Czirok, A., Ben-Jacob, E., et al. (1995) Novel Type of Phase Transition in a System of Self-Driven Particles. Physical Review E, 75, 1226-1229. [Google Scholar] [CrossRef] 
[4] Lin, P. and Jia, Y.M. (2007) Distributed Consensus Control for Second-Order Agents with Fixed Topology and Time-Delay. 26th Chinese Control Conference, Zhangjiajie, 26-31 July 2007, 577-581. [Google Scholar] [CrossRef] 
[5] Hu, J. and Hong, Y. (2007) Leader Following Coordination of Multi-Agent Systems with Coupling Time Delays. Physica A, 374, 853-863. [Google Scholar] [CrossRef] 
[6] Tian, Y.P. and Liu, C.L. (2009) Robust Consensus of Mul-ti-Agent Systems with Diverse Input Delays and Nonsysmmetric Interconnection Perturbations. Automatica, 45, 1347-1353. [Google Scholar] [CrossRef] 
[7] Yang, W., Bertozzi, A.L. and Wang, X. (2008) Stability of a Second Order Consensus Algorithm with Time Delay. 47th IEEE Conference on Decision and Control, Cancun, 9-11 December 2008, 2926-2931.
[8] Huang, N., Duan, Z. and Chen, G.R. (2016) Some Necessary and Suf-ficient Conditions for Consensus of Second-Order Multi-Agent Systems with Sampled Position Data. Automatica, 63, 148-155. [Google Scholar] [CrossRef] 
[9] Zhu, W. and Cheng, D. (2010) Leader-Following Consensus of Second-Order Agents with Multiple Time-Varying Delays. Automatica, 46, 1994-1999. [Google Scholar] [CrossRef] 
[10] Ren, W. and Cao, Y. (2011) Distributed Coordination of Multi-Agent Networks: Emergent Problems, Models and Issues. Springer, Berlin. [Google Scholar] [CrossRef] 
[11] Ruan, S. and Wei, J. (2003) On the Zeros of Transcendental Functional with Applications to Stability of Delay Differential Equations with Two Delays. Dynamics of Continuous, Discrete Impulsive Systems Series A. Mathematical Analysis, 10, 863-874.

为你推荐