I. Introduction
Multi-lane environments constitute a quintessential subset of traffic systems, which include, but are not limited to, multi-lane intersections, roadway segments, ramp merge and diverge areas, as well as areas of traffic flow convergence. Within these contexts, the actions of certain vehicles frequently conflict, engendering the potential for collisions. The coordinated control schemes for CAVs aim to mitigate vehicular action conflicts and circumvent collisions, playing a vital role in ensuring safe navigation in multi-lane scenarios. Commonly deployed coordinated control methods for multi-lane scenarios encompass the coordination of multiple single-lane platoons [1] and the multi-lane formation control [2]. However, the coordination of multiple single-lane platoons is often hampered by the lack of interaction between vehicles across different lanes, which in turn constrains the efficiency of coordination.