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Neural Adaptive Dynamic Event-Triggered Containment Control for Uncertain Multi-Agent Systems Under Markovian Switching Dynamics

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Abstract

In this paper, we propose the containment control problem for multi-agent systems with Markovian switching dynamics by proposing a novel adaptive dynamic event-triggered sliding mode control scheme based on radial basis function neural networks. First, the unknown nonlinear dynamics of the system were approximated by using radial basis function neural networks. The dynamic event-triggered control scheme designed in the framework of sliding mode control operated at specific event sampling moments, thereby reducing computational and communication burdens. The containment control was achieved through a synergistic approach integrating dynamic event-triggered control with neural network-based adaptive control in a stochastic switching system. Moreover, we proved that Zeno behavior was effectively avoided. The proposed distributed containment control technique was validated through simulations, demonstrating its effectiveness and superiority.

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Data Availability

No datasets were generated or analyzed during the current study.

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Funding

This research is supported by the 2022 Guizhou University of Finance and Economics project of introducing talents and the start of scientific research under Grant 2022YJ032; in part by the Basic Research Program (Natural Sciences) Youth Mentoring Project of Guizhou Province under Grant Qian Ke He Ji Chu-[2024] Youth 186; in part by the High-Level Talent Initiation Project of Shenzhen Polytechnic University under Grant 6024330003K; in part by the Research Projects of Department of Education of Guangdong Province under Grant 2024KQNC034; and in part by the project of Young Scientific and Technical Talents Development of Education Department of Guizhou Province under Grant [2024]80.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, Guizhou, China

    Jiayi Cai & Wenjun Wu

  2. School of Undergraduate Education, Shenzhen Polytechnic University, Shenzhen, 518107, Guangdong, China

    Chengbo Yi

  3. School of Mathematical Sciences, Shenzhen University, Shenzhen, 518052, Guangdong, China

    Yanxian Chen

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  1. Jiayi Cai
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Jiayi Cai and Wenjun Wu wrote the original draft. Chengbo Yi prepared all figures. Yanxian Chen reviewed and edited.

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Correspondence to Chengbo Yi.

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Cai, J., Wu, W., Yi, C. et al. Neural Adaptive Dynamic Event-Triggered Containment Control for Uncertain Multi-Agent Systems Under Markovian Switching Dynamics. Cogn Comput 17, 33 (2025). https://doi.org/10.1007/s12559-024-10388-9

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