利用滑模控制技术研究了离散型不确定时空网络的同步问题。首先, 设计了有效的网络滑模面以及网络同步控制器, 由此推出了滑模面的稳定条件。进一步利用该稳定条件确定了滑模面中所含的调节参数的取值范围, 并且设计了未知参数的识别律, 对滑模面中的未知参数进行了有效识别。最后, 以实际电光时空混沌模型为基础构造时空网络, 通过模拟仿真验证了此同步方案的可行性和控制器的有效性。所提出的同步技术允许网络的拓扑结构是任意的, 并且此同步方案不需要设计Lyapunov函数, 通过调节滑模面中的参数即可实现网络同步。

The problem of the synchronization for discrete uncertain spatiotemporal networks based on sliding mode control is discussed. At first, an effective network sliding mode surface and a network synchronization controller are designed. From this, the stability condition of the sliding surface is derived. Further the stability condition is used to determine the range of adjustment parameters in the sliding surface, and the recognition law of unknown parameters is designed. And then, the unknown parameters in the sliding surface are identified effectively. At last, the spatiotemporal network with the actual electro-optical spatiotemporal chaos model is constructed. And the feasibility of the synchronization scheme and the effectiveness of the controller are verified by simulation. The proposed synchronization technology allows the topology of the network to be arbitrary, and this synchronization scheme does not need to design Lyapunov functions. The network synchronization can be realized by adjusting the parameters in the sliding surface.