一类分数阶神经网络的自适应H_∞同步

Adaptive H_∞ synchronization of a class of fractional-order neural networks

针对一类不确定分数阶神经网络系统,研究了其自适应H_∞同步问题和参数辨识问题。提出了一个新的可以使闭环系统实现H_∞同步的自适应控制协议,利用鲁棒控制的方法和Gronwall-Bellma不等式证明了驱动系统和响应系统在该协议下可以实现同步,同时满足H_∞性能。通过仿真实验,验证了所设计控制协议的有效性,并且说明了利用该控制协议可以对未知参数进行辨识。

This study aims to address the adaptive H_∞synchronization problem and parameter identification problem of a class of uncertain fractional order neural networks.First,an adaptive control law is proposed to make the closed-loop system achieve H_∞synchronization.Second,by using the robust control method and Gronwall-Bellman inequality,it is shown that the drive system and the response system can achieve synchronization under the proposed control law while satisfying the H_∞performance.Finally,by numerical simulations,the effectiveness of the control law is verified,illustrating that the unknown parameters can also be identified using the proposed control law.