This paper investigates a finite-time consensus issue for non-affine pure-feedback multi-agent systems with dead-zone input. Compared with the existing results on multi-agent systems, finite-time consensus problem of non-affine multi-agent systems is proposed for the first time. Based on the backsteppting technique, adaptive finite-time consensus control scheme is presented. With the help of this strategy, adaptive virtual variables, adaptive laws and the actual controller are designed to guarantee that the consensus errors converge to a small scale of the origin in finite time. Finally, a practical example is applied to verify the feasibility of the proposed method.

中文翻译：

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具有死区输入的一类多智能体系统的有限时间共识控制

本文研究了具有死区输入的非仿射纯反馈多智能体系统的有限时间共识问题。相对于现有的多智能体系统结果，首次提出了非仿射多智能体系统的有限时间共识问题。基于反推技术，提出了一种自适应的有限时间共识控制方案。借助该策略，设计了自适应虚拟变量，自适应定律和实际控制器，以确保共识误差在有限时间内收敛到小范围的原点。最后，通过实例验证了该方法的可行性。