A collisionless singular Cucker-Smale model with decentralized formation control
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In this paper we address the design of decentralized feedback control laws inducing consensus and prescribed spatial patterns over a singular Cucker-Smale type model. The control design consists of a feedback term regulating the distance between each agent and pre-assigned neighbours. Such a design represents a multidimensional extension of existing control laws for 1d platoon formation control. For the proposed controller, we study consensus formation, collision-avoidance and formation control features in terms of energy estimates for the closed-loop system. Numerical experiments in 1, 2 and 3 dimensions assess the different features of the proposed design.
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