Journal of Systems Science and Complexity

, Volume 32, Issue 2, pp 588–599 | Cite as

Mean Square Average Generalized Consensus of Multi-Agent Systems Under Time-Delays and Stochastic Disturbances

  • Li Qiu
  • Liuxiao GuoEmail author
  • Jia Liu


Compared with the traditional consensus problem, this paper deals with the mean square average generalized consensus (MSAGC) of multi-agent systems under fixed directed topology, where all agents are affected by stochastic disturbances. Distributed protocol depending on delayed time information from neighbors is designed. Based on Lyapunov stability theory, together with results from matrix theory and Itô's derivation theory, the linear matrix inequalities approach is used to establish sufficient conditions to ensure MSAGC of multi-agent systems. Finally, numerical simulations are provided to illustrate the theoretical results.


Mean square average generalized consensus multi-agent systems stochastic disturbances time delays 


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Copyright information

© The Editorial Office of JSSC & Springer-Verlag GmbH Germany 2019

Authors and Affiliations

  1. 1.School of ScienceJiangnan UniversityWuxiChina

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