| 摘要: |
| 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. |
| 关键词: 投影同步 时变延迟 复杂网络 牵制脉冲控制 |
| DOI：10.20192/j.cnki.JSHNU(NS).2024.04.001 |
| 分类号:O231.2 |
| 基金项目: |
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| Projective synchronization analysis of master-slave complex networks with multiple time-varying delays via pinning impulsive control |
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GONG Siyi
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School of Mathematics, Southwest Jiaotong University, Chengdu 610031, Sichuan, China
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| Abstract: |
| 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. |
| Key words: projective synchronization time-varying delays complex networks pinning impulsive |
