根据定理4.3的推论，原点是渐近稳定的。
By the corollary to Theorem 4.3, the origin is asymptotically stable.
在一定的假设下，我们证明其驻波解是渐近稳定的。
It is proved that the stationary wave is asymptotically stable under some assumptions.
最后利用引理的结论得出了该网络全局一致渐近稳定的结论。
In the end, the conclusion of global consistent asymptotic stability for the network is drawn from the lemma.
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