中文摘要：

提出了平面上多个体系统在某一确定的光滑曲线上的一致性问题。在一定条件下，设计了一个非线性的分散反馈控制协议，使得每一个个体随着时间的推移趋向于该曲线，都沿着曲线的同一个方向运动，并且运动速度趋于一致。通过一个变换，针对平面圆目标曲线实现了角速度的一致性。最后给出了仿真例子，对理论结果进行了验证。

英文摘要：

For multi-agent systems, the consensus problem along a plane curve is proposed. Under some conditions, a nonlinear decentralized feedback protocol is designed, so that all agents converge to the curve and their velocities are in a- greement asymptotically. With a transformation, all agents converge to the desired curves of circle and their angular velocities are in the agreement asymptotically. Finally, simulation examples are given to illustrate the theoretical results.