This investigation looks at the issue of finite time exponential synchronization of complex dynamical systems with reaaction diffusion term. This reort studies complex networks consisting of $ N $ straightly and diffusively coupled networks. By building a new Lyapunov krasovskii functional (LKF), using Jensens inequality and convex algorithms approach stability conditions frameworks are determined. At last, a numerical precedent is given to demonstrate the practicality of the theoretical results.

中文翻译：

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反应扩散时滞复杂动力学网络的有限时间指数同步

这项研究着眼于具有反应扩散项的复杂动力系统的有限时间指数同步问题。该研究研究了由$ N $直接和扩散耦合的网络组成的复杂网络。通过建立一个新的Lyapunov krasovskii泛函（LKF），使用Jensens不等式和凸算法来确定稳定性条件框架。最后给出了数值先例，证明了理论结果的实用性。