无边界分布时滞惯性忆阻神经网络的反同步控制研究

Research on Anti⁃synchronization Control of Inertial Memristor Neu⁃ral Network with Unbounded Distributed Time Delays

为研究一类具有无边界分布时滞惯性忆阻神经网络系统的反同步问题,根据反同步误差系统,采用非降阶法设计一个合适的自适应切换控制器,再构造合适的Lyapunov泛函,采用不等式技巧等得到系统反同步的充分条件,最后通过数值仿真验证了设计的自适应切换控制器的有效性。

In order to study the anti-synchronization problem of a class of inertial memristor neural networks(IMNNs)with un⁃bounded distributed time delays,according to the anti-synchronization error system,a suitable adaptive switching controller is de⁃signed using the non-reduced-order method,and then the appropriate Lyapunov functional is constructed.Sufficient conditions for the anti-synchronization of the system are obtained using inequality techniques.Finally,the effectiveness of the designed adaptive switching controller is verified by numerical simulation.