时滞反应扩散Hopfield神经网络的滑动模控制

研究了一类具有S--分布时滞和反应扩散项的Hopfield神经网络的滑动模控制问题. 首先改进了一类Hanalay不等式, 给出了一种范数不等式. 然后通过等效控制方法建立了系统的滑动模态方程, 并利用不等式技巧分析了它的吸引集的存在性和零点的指数稳定性. 在此基础上设计了变结构控制器, 给出了运动轨线到达滑动模态区的时间估计. 最后给出了一个例子验证了本文的结果, 并利用MATLAB作出了仿真.

Sliding mode control for Hopfield neural networks with time-delays and reaction-diffusion terms

The sliding mode control problems of a class of Hopfield neural networks with S-type distributed time-delays and reaction diffusion terms are investigated. First, the improved Hanalay inequality and norm inequality are presented. Next, the sliding mode equation is derived by using the equivalent control method; and the existence of the attraction sets and exponential stability of this system are discussed by using these inequalities. Then, the variable structure controller is designed; the approximate time duration from any initial state to sliding manifolds is also obtained. Finally, an example is given to illustrate the practical application of the propose scheme, and the simulation is carried out by using the MATLAB.