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Chin. Phys. B, 2017, Vol. 26(10): 100506    DOI: 10.1088/1674-1056/26/10/100506
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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. School of Electronic Information, Guangdong University of Petrochemical Technology, Maoming 525000, China;
2. Systems Engineering Institute, South China University of Technology, Guangzhou 510640, China
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.
Keywords:  stochastic bounded consensus      multi-agent systems      noises      time-delays  
Received:  19 July 2017      Revised:  19 July 2017      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  89.75.-k (Complex systems)  
  02.30.Ks (Delay and functional equations)  
  02.20.-a (Group theory)  
Fund: 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).
Corresponding Authors:  Fei-Qi Deng     E-mail:

Cite this article: 

Hong-Wei Ren(任红卫), Fei-Qi Deng(邓飞其) Stochastic bounded consensus of second-order multi-agent systems in noisy environment 2017 Chin. Phys. B 26 100506

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