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本文利用树突树的冲激响应对分布参数突触联接进行了形式化描述。在树突空间结构形式化描述基础上，我们提出一种分布参数突触联接动态神经网络，并且详细地研究它的有界性和稳定性。本文主要贡献是，得到了包括突触联接在内的树突树系统的冲激响应及其绝对可积性；提出了分布参数突触联接动态神经网络及其数学描述；给出了有界性和稳定性定理。
In this paper, we use the impulse response of dendritic tree to formally describe the synaptic connection of distribution parameters. Based on the formal description of dendritic space structure, we propose a distributed parameter synaptic connection dynamic neural network, and study its boundedness and stability in detail. The main contribution of this paper is that the impulse response and its absolute integrability of dendritic tree system including synaptic connection are obtained, the dynamic neural network with synaptic connection of distribution parameters and its mathematical description are proposed, and the boundedness And stability theorem.