基于LMI的非线性时变时滞神经网络自适应鲁棒控制

Nonlinear Time-varying Time-delay Neural Network Adaptive Robust Control Based on LMI

针对一类时变时滞非线性神经网络系统,首先运用神经网络逼近非线性函数,然后构造Lyapunov泛函,给出状态反馈控制律,以线性矩阵不等式的形式给出了系统渐近稳定的充分条件,并讨论了系统的鲁棒稳定性.最后,用数值算例说明了结果的正确性和可行性.

For a class of time-varying delay nonlinear neural network system,first by neural network approximation nonlinear function,through the transformation and then by means of Lyapunov function,the state feedback control law is given,and with linear matrix inequalities gives the sufficient con-ditions of the system that is asymptotically stable is given,and the system robust stability is discussed,which satisfies a prescribed H∞ noim-bounded.In the end,a numerical example illustrates the feasibility and correct-ness of the proposed method.