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Finite-time consensus for second-order stochastic multi-agent systems with nonlinear dynamics

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  • Zhao, Lin
  • Jia, Yingmin

Abstract

In this study, the problem of finite-time consensus in probability for second-order stochastic multi-agent systems with non-identical nonlinear dynamics is investigated. Based on the stochastic finite-time stability theorems and adding a power integrator technique, we propose the distributed control algorithm for the stochastic multi-agent systems, which can guarantee all agents converge to consensus in finite time with probability one under an undirected graph. Two simulation examples are presented to demonstrate the effectiveness of the proposed methods.

Suggested Citation

  • Zhao, Lin & Jia, Yingmin, 2015. "Finite-time consensus for second-order stochastic multi-agent systems with nonlinear dynamics," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 278-290.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:278-290
    DOI: 10.1016/j.amc.2015.08.048
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    References listed on IDEAS

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    1. Yin, J. & Ding, D. & Liu, Z. & Khoo, S., 2015. "Some properties of finite-time stable stochastic nonlinear systems," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 686-697.
    2. T. Senthilkumar & P. Balasubramaniam, 2011. "Delay-Dependent Robust Stabilization and H ∞ Control for Nonlinear Stochastic Systems with Markovian Jump Parameters and Interval Time-Varying Delays," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 100-120, October.
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    Cited by:

    1. Mo, Lipo & Yuan, Xiaolin & Yu, Yongguang, 2021. "Containment control for multi-agent systems with fractional Brownian motion," Applied Mathematics and Computation, Elsevier, vol. 398(C).
    2. Zhao, Lin & Yu, Jinpeng & Lin, Chong & Yu, Haisheng, 2017. "Distributed adaptive fixed-time consensus tracking for second-order multi-agent systems using modified terminal sliding mode," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 23-35.
    3. Wang, Jinhuan & Xu, Yuling & Xu, Yong & Yang, Dedong, 2019. "Time-varying formation for high-order multi-agent systems with external disturbances by event-triggered integral sliding mode control," Applied Mathematics and Computation, Elsevier, vol. 359(C), pages 333-343.
    4. Tan, Yushun & Fei, Shumin & Liu, Jinliang & Zhang, Dan, 2019. "Asynchronous adaptive event-triggered tracking control for multi-agent systems with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 355(C), pages 482-496.
    5. Guo, Wanli & He, Wennuo & Shi, Lili & Sun, Wen & Lu, Xiaoqing, 2021. "Fixed-time consensus tracking for nonlinear stochastically disturbed multi-agent systems via discontinuous protocols," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    6. Zhao, Lin & Jia, Yingmin & Yu, Jinpeng & Du, Junping, 2017. "H∞ sliding mode based scaled consensus control for linear multi-agent systems with disturbances," Applied Mathematics and Computation, Elsevier, vol. 292(C), pages 375-389.
    7. Li, Jian & Wu, Chun-Yu, 2017. "Finite-time fault detection filter design for discrete-time interconnected systems with average dwell time," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 259-270.

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