Discrete-time neuro identification without robust modification

Wen Yu, Xiaoou Li · IEE Proceedings - Control Theory and Applications · 2003

In general, neural networks cannot exactly represent nonlinear systems. A neuro identifier has to include robust modification in order to guarantee Lyapunov stability. An input-to-state stability approach is used to create robust training algorithms for discrete-time neural networks. It is concluded that the gradient descent law and a backpropagation-type algorithm used for the weight adjustments are stable in the sense of L∞ and robust to any bounded uncertainties.

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