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Leader--Follower Consensus Problems of Multi-agent Systems with Noise Perturbation and Time Delays |
| SUN Yong-Zheng1,2, RUAN Jiong2 |
| 1School of Sciences, China University of Mining and Technology, Xuzhou 2210082School of Mathematical Sciences, Fudan University, Shanghai 200433 |
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SUN Yong-Zheng, RUAN Jiong 2008 Chin. Phys. Lett. 25 3493-3495 |
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Abstract In light of the stability theory for stochastic differential delay equations, the leader--followerconsensus problem with noise perturbation and communication time delays is investigated. Communication among agents is modelled as a weighted directed graph and the weights are stochastically perturbed with white noise. It is analytically proven that the consensus could be achieved almost surely with the perturbation of noise and communication time delays. Furthermore, numerical examples are provided to illustrate the effectiveness of the theoretical results
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| Keywords:
87.18.Ed
87.10.+e
05.40.Ca
05.45.Xt
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Received: 05 June 2008
Published: 29 August 2008
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