具有时变时滞的分数阶四元数神经网络的投影同步

Projective Synchronization of Fractional QuaternionNeural Networks With Time⁃Varying Delays

研究了具有时变时滞的分数阶四元数神经网络的投影同步问题.该文不将分数阶四元数神经网络系统转化成两个复值系统或四个实值系统,而是将四元数系统当做一个整体进行处理.在合适的控制器下,通过构造合适的Lyapunov函数,并利用一些不等式技巧,得到了具有时变时滞分数阶四元数时滞神经网络投影同步的充分性判据.最后,通过数值仿真实例验证了所得结论的有效性和可行性.

The projective synchronization of fractional quaternion neural networks with time⁃varying delays was studied.Instead of transforming the fractional quaternion neural network system into 2 complex⁃valued systems or 4 real⁃valued systems,the means of treating the quaternion network system directly as a whole was applied.Under a rational controller,through the construction of a suitable Lyapunov function and with some inequality techniques,the sufficient criteria for the projective synchronization of fractional quaternion neural networks with time⁃varying delays were obtained.The numerical simulation example shows the validity and feasibility of the conclusions.