Zhang Ziwei, Yin Xiuxia, Hu Songlin
The Department of Mathematics, School of Mathematics and Computer Sciences, Nanchang University, Nanchang, Jiangxi 330031, People's Republic of China.
The Institute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing, Jiangsu 210003, People's Republic of China.
ISA Trans. 2025 Feb;157:11-19. doi: 10.1016/j.isatra.2024.11.055. Epub 2024 Dec 5.
In this paper, we consider the finite-time consensus problem for second-order multi-agent systems with pinning control. Unlike the existing finite-time consensus algorithms for second-order multi-agent systems in which all agents' velocities and positions are assumed to have common communication weights and nonlinear couplings, we allow communication weights, nonlinear couplings and the feedback gains to be inconsistent for each agent's velocity and position. A flexible continuous protocol is designed to solve the finite-time consensus problem. Based on the Lyapunov functional approach and finite-time stability analysis, it is proved that this model not only achieves finite-time consensus for every agent but also estimates the settling time depending on initial data without assuming that α=2α1+α. Moreover, some simulation examples are given to verify the effectiveness of the theoretical results.
在本文中，我们考虑具有牵制控制的二阶多智能体系统的有限时间一致性问题。与现有的二阶多智能体系统有限时间一致性算法不同，现有算法假设所有智能体的速度和位置具有共同的通信权重和非线性耦合，而我们允许每个智能体的速度和位置的通信权重、非线性耦合以及反馈增益不一致。设计了一种灵活的连续协议来解决有限时间一致性问题。基于李雅普诺夫泛函方法和有限时间稳定性分析，证明了该模型不仅能使每个智能体实现有限时间一致性，还能根据初始数据估计收敛时间，且无需假设α = 2α1 + α。此外，给出了一些仿真例子来验证理论结果的有效性。
