摘要
对一类具有比例时滞的脉冲二阶Hopfield神经网络进行研究。通过非线性变换,将系统等价变换成具有不等常时滞和变系数的脉冲二阶Hopfield神经网络;构造合适的Lyapunov泛函,应用不等式的分析技巧,研究系统的全局指数稳定性,得到保证该系统平衡点全局指数稳定的一个时滞依赖的充分条件。数值算例验证了所得结论的正确性和有效性。
A class of second order Hopfield neural networks with proportional delays under impulsive per- turbations is investigated. At first, utilizing a nonlinear transform, the considered system is equivalently transformed into a class of second order Hopfield neural networks with unequal delays and variable coefficients. Then, by constructing proper Lyapunov functional and applying inequality techniques, global exponential stability analysis for the considered system is studied, and a delay-dependent sufficient condition for global exponential stability of equilibrium point of the system is obtained. Finally, some examples are given to illustrate the effectiveness and correctness of the obtained results.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
2015年第3期312-318,共7页
Journal of Natural Science of Heilongjiang University
基金
国家自然科学基金资助项目(61374009)
