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We address the design of decentralized feedback control laws inducingconsensus and prescribed spatial patterns over a singular interacting particlesystem of Cucker-Smale type. The control design consists of a feedback termregulating the distance between each agent and pre-assigned subset ofneighbours. Such a design represents a multidimensional extension of existingcontrol laws for 1d platoon formation control. For the proposed controller westudy consensus emergence, collision-avoidance and formation control featuresin terms of energy estimates for the closed-loop system. Numerical experimentsin 1, 2 and 3 dimensions assess the different features of the proposed design.

A collisionless singular Cucker-Smale model with decentralized formation control