中国物理B ›› 2017, Vol. 26 ›› Issue (10): 100506-100506.doi: 10.1088/1674-1056/26/10/100506

• GENERAL • 上一篇    下一篇

Stochastic bounded consensus of second-order multi-agent systems in noisy environment

Hong-Wei Ren(任红卫), Fei-Qi Deng(邓飞其)   

  1. 1. School of Electronic Information, Guangdong University of Petrochemical Technology, Maoming 525000, China;
    2. Systems Engineering Institute, South China University of Technology, Guangzhou 510640, China
  • 收稿日期:2017-07-19 修回日期:2017-07-19 出版日期:2017-10-05 发布日期:2017-10-05
  • 通讯作者: Fei-Qi Deng E-mail:aufqdeng@scut.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61573156, 61273126, 61503142, 61272382, and 61573154) and the Fundamental Research Funds for the Central Universities (Grant No. x2zdD2153620).

Stochastic bounded consensus of second-order multi-agent systems in noisy environment

Hong-Wei Ren(任红卫)1,2, Fei-Qi Deng(邓飞其)2   

  1. 1. School of Electronic Information, Guangdong University of Petrochemical Technology, Maoming 525000, China;
    2. Systems Engineering Institute, South China University of Technology, Guangzhou 510640, China
  • Received:2017-07-19 Revised:2017-07-19 Online:2017-10-05 Published:2017-10-05
  • Contact: Fei-Qi Deng E-mail:aufqdeng@scut.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61573156, 61273126, 61503142, 61272382, and 61573154) and the Fundamental Research Funds for the Central Universities (Grant No. x2zdD2153620).

摘要: This paper investigates the stochastic bounded consensus of leader-following second-order multi-agent systems in a noisy environment. It is assumed that each agent received the information of its neighbors corrupted by noises and time delays. Based on the graph theory, stochastic tools, and the Lyapunov function method, we derive the sufficient conditions under which the systems would reach stochastic bounded consensus in mean square with the protocol we designed. Finally, a numerical simulation is illustrated to check the effectiveness of the proposed algorithms.

关键词: stochastic bounded consensus, multi-agent systems, noises, time-delays

Abstract: This paper investigates the stochastic bounded consensus of leader-following second-order multi-agent systems in a noisy environment. It is assumed that each agent received the information of its neighbors corrupted by noises and time delays. Based on the graph theory, stochastic tools, and the Lyapunov function method, we derive the sufficient conditions under which the systems would reach stochastic bounded consensus in mean square with the protocol we designed. Finally, a numerical simulation is illustrated to check the effectiveness of the proposed algorithms.

Key words: stochastic bounded consensus, multi-agent systems, noises, time-delays

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
89.75.-k (Complex systems) 02.30.Ks (Delay and functional equations) 02.20.-a (Group theory)