Exponential stability for a multi-particle system with piecewise interaction function and stochastic disturbance

<p style='text-indent:20px;'>In this paper, a generalized Motsch-Tadmor model with piecewise interaction function is investigated, which can be viewed as a generalization of the model proposed in [<xref ref-type="bibr" rid="b9">9</xref>]. Our analysis bases on the connectedness of the underlying graph of the system. Some sufficient conditions are presented to guarantee the system to achieve flocking. Besides, we add a...