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Bounded consensus in second-order uncertain nonlinear multiagent systems: A distributed neural network control approach

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  • Li, Chaoyang
  • Zhai, Shidong
  • Zheng, Yuanshi

Abstract

This paper explores the consensus issue in second-order generalized nonlinear multiagent systems (MAS) that involve uncertain nonlinear dynamics and external disturbances from the system. Suppose that the uncertain nonlinear terms can be approximated by neural networks with nonlinear residues. Through the incorporation of localized adaptive observer and disturbance observer for each agent, we propose a distributed adaptive protocol to promote bounded consensus (BC) in the network. Due to the use of saturated functions and adaptive gains in the protocol, the chattering phenomenon is weakened. Finally, two simulation examples verify the results of the fully distributed adaptive bounded consensus protocol.

Suggested Citation

  • Li, Chaoyang & Zhai, Shidong & Zheng, Yuanshi, 2025. "Bounded consensus in second-order uncertain nonlinear multiagent systems: A distributed neural network control approach," Applied Mathematics and Computation, Elsevier, vol. 498(C).
  • Handle: RePEc:eee:apmaco:v:498:y:2025:i:c:s0096300325000967
    DOI: 10.1016/j.amc.2025.129369
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    References listed on IDEAS

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    1. Peng, Yan & Ge, Chao & Yang, Hongjiu & Wang, Hong, 2023. "Stability and consistency for networked multiagent systems with double-Layered game under multiple DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Jin, Zengke & Wang, Chaoli & Liang, Dong & Zuo, Zongyu & Liang, Zhenying, 2024. "Fixed-time cooperative output regulation for second-order nonlinear multiagent systems with an unknown exosystem," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    3. Dong, Bolei & Yan, Liping & Xia, Yuanqing, 2024. "Event-based appointed-time cooperative formation for linear multiagent systems with actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    4. Chen, Boxun & Tang, Ze & Feng, Jianwen, 2024. "Matrix measure-based event-triggered consensus of multi-agent systems with hybrid time delays," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    5. Guo, Shiyu & Zhao, Xudong & Wang, Huanqing & Xu, Ning, 2023. "Distributed consensus of heterogeneous switched nonlinear multiagent systems with input quantization and DoS attacks," Applied Mathematics and Computation, Elsevier, vol. 456(C).
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