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具有多重时变时滞复杂网络的牵制脉冲控制投影同步分析

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研究了一类具有多时变时滞的驱动-响应复杂动态网络系统的投影同步问题.非线性项和耦合项共具有n+1个不相同的时变时滞,增加了研究的难度.利用Lyapunov方法构造了 Lyapunov函数,并应用牵制脉冲控制器解决了研究难点,从而给出了一类具有多重混合时滞的驱动-响应复杂网络,实现投影同步的充分条件.最后通过一个数值仿真验证了该方法的有效性.
Projective synchronization analysis of master-slave complex networks with multiple time-varying delays via pinning impulsive control
This paper investigated the projective synchronization problem for a class of master-slave complex dynamical networks with multiple time-varying delays via a pinning impulsive controller.The nonlinear term and the coupled term had n+1 non-identical time-varying delays,which increased our research difficulties.By using the Lyapunov method,I construct a multinomial Lyapunov function,and apply the pinning impulsive controller to solve the difficulties,thus a new criterion was given for a class of master-slave complex networks with multiple mixed delays to achieve projective synchronization.A numerical simulation was presented to verify the effectiveness of our result.

projective synchronizationtime-varying delayscomplex networkspinning impulsive control

龚思艺

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西南交通大学 数学学院,四川成都 610031

投影同步 时变延迟 复杂网络 牵制脉冲控制

2024

上海师范大学学报(自然科学版)
上海师范大学

上海师范大学学报(自然科学版)

影响因子:0.255
ISSN:1000-5137
年,卷(期):2024.53(4)