Realization of consensus of multi-agent systems with stochastically mixed interactions
- School of Science, China University of Mining and Technology, Xuzhou 221008 (China)
- School of Mathematical Sciences, Fudan University, Shanghai 200433 (China)
In this paper, we propose a new consensus model in which the interactions among agents stochastically switch between attraction and repulsion. Such a positive-and-negative mechanism is described by the white-noise-based coupling. Analytic criteria for the consensus and non-consensus in terms of the eigenvalues of the noise intensity matrix are derived, which provide a better understanding of the constructive roles of random interactions. Specifically, we discover a positive role of noise coupling that noise can accelerate the emergence of consensus. We find that the converging speed of the multi-agent network depends on the square of the second smallest eigenvalue of its graph Laplacian. The influence of network topologies on the consensus time is also investigated.
- OSTI ID:
- 22596611
- Journal Information:
- Chaos (Woodbury, N. Y.), Vol. 26, Issue 7; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA); ISSN 1054-1500
- Country of Publication:
- United States
- Language:
- English
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