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L2−L∞ consensus of stochastic delayed multi-agent systems with ADT switching interaction topologies

Author

Listed:
  • Huang, Xin
  • Liu, Yamin
  • Wang, Yang
  • Zhou, Jianping
  • Fang, Muyun
  • Wang, Zhen

Abstract

This paper investigates the L2−L∞ consensus for a class of stochastic delayed multi-agent systems subject to switching interaction topologies via utilizing an observer-based control protocol. The switching between the interaction topologies is assumed to have the average dwell time (ADT) constraint. With the aid of a simple model transformation, the L2−L∞ consensus issue is transformed into the problem of weighted stochastic L2−L∞ control. Analysis results on the weighted stochastic L2−L∞ control are proposed by constructing Lyapunov-Krasovskii functional and employing stochastic analysis methods. Then, an approach is developed to determine the desired observer-based consensus protocol. Finally, an illustrative numerical example is given to show the usefulness of our design method.

Suggested Citation

  • Huang, Xin & Liu, Yamin & Wang, Yang & Zhou, Jianping & Fang, Muyun & Wang, Zhen, 2020. "L2−L∞ consensus of stochastic delayed multi-agent systems with ADT switching interaction topologies," Applied Mathematics and Computation, Elsevier, vol. 368(C).
    • Handle: RePEc:eee:apmaco:v:368:y:2020:i:c:s0096300319307921
    DOI: 10.1016/j.amc.2019.124800
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    References listed on IDEAS

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