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通过3个广义范数,即(ξ,∞)-范数、(ξ,1)-范数和(ξ,2)-范数及构造Lyapunov泛函的方法,研究了具有常时滞和时变时滞的Hopfield神经网络模型的动力学行为,证明了系统平衡点的存在唯一性和全局指数稳定性,最后通过数值算例及仿真验证了所得结果的有效性.
具有常时滞和时变时滞的Hopfield神经网络的全局指数稳定性
【摘 要】
：
通过3个广义范数,即(ξ,∞)-范数、(ξ,1)-范数和(ξ,2)-范数及构造Lyapunov泛函的方法,研究了具有常时滞和时变时滞的Hopfield神经网络模型的动力学行为,证明了系统平衡点的存在唯一性和全局指数稳定性,最后通过数值算例及仿真验证了所得结果的有效性.
【机 构】
：
伊犁师范大学数学与统计学院,新疆伊宁 835000;伊犁师范大学数学与统计学院,新疆伊宁 835000;伊犁师范大学应用数学研究所,新疆伊宁 835000
【出 处】
：
伊犁师范学院学报（自然科学版）
【发表日期】
：
2021年3期
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