  In this paper, we studied the finite time anti-synchronization of
master-slave coupled complex-valued neural networks (CVNNs) with bounded
asynchronous time-varying delays. With the decomposing technique and the
generalized $\{\xi,\infty\}$-norm, several criteria for ensuring the
finite-time anti-synchronization are obtained. The whole anti-synchronization
process can be divided into two parts: first, the norm of each error state
component will change from initial values to $1$ in finite time, then from $1$
to $0$ in fixed time. Therefore, the whole time is finite. Finally, one typical
numerical example is presented to demonstrate the correctness of our obtained
results.
