Up to now, the problem of synchronization of mutual coupled integer order systems has been tackled by several researchers. However, few works have been done to investigate such context on fractional order systems. In this context, this paper presents a complete methodology to solve this problem. On the other hand, to the best of our knowledge, among all the existing works dealing with the synchronization of mutual coupled fractional order systems, no paper has treated the special class of one-sided Lipschitz systems. In order to validate the theoretical results, two numerical examples are studied in the simulation section.

中文翻译：

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互耦合分数阶单边lipschitz系统的同步

到目前为止，相互耦合的整数阶系统的同步问题已经被一些研究人员解决。然而，很少有工作来研究分数阶系统上的这种上下文。在此背景下，本文提出了解决此问题的完整方法。另一方面，据我们所知，在所有处理相互耦合分数阶系统同步的现有工作中，没有一篇论文处理过特殊类型的单边 Lipschitz 系统。为了验证理论结果，在模拟部分研究了两个数值例子。