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针对一类具有多时滞区间BAM神经网络平衡点的存在唯一性和鲁棒稳定性问题.利用同胚映射理论,构造合理的Lyapunov函数,并利用线性矩阵不等式技术,分别得到了系统平衡点的存在唯一性和全局渐进鲁棒稳定性的时滞相关充分条件,数值实例说明了方法的有效性和可行性.该成果对区间BAM神经网络稳定性的研究具有一定的参考和应用价值.
Aiming at the existence and uniqueness and the robust stability problem of a class of BAM neural networks with multiple time-delay intervals, the reasonable Lyapunov function is constructed by using the homeomorphic mapping theory and the existence of the system equilibrium point is obtained by using the linear matrix inequality Uniqueness and sufficient conditions for the global stability of a robust asymptotic stability are presented. The numerical examples show the effectiveness and feasibility of the proposed method. The results have certain reference value and application value for the study of the stability of interval BAM neural networks.