  This paper utilizes the agent's memory in accelerated consensus for
second-order multi-agent systems (MASs). In the case of one-tap memory,
explicit formulas for the optimal consensus convergence rate and control
parameters are derived by applying the Jury stability criterion. It is proved
that the optimal consensus convergence rate with one-tap memory is faster than
that without memory. In the case of M-tap memory, an iterative algorithm is
given to derive the control parameters to accelerate the convergence rate.
Moreover, the accelerated consensus with one-tap memory is extended to the
formation control, and the control parameters to achieve the fastest formation
are obtained. Numerical examples further illustrate the theoretical results.
