# Lur'e systems with multilayer perceptron and recurrent neural networks: absolute stability and dissipativity

@article{Suykens1999LureSW, title={Lur'e systems with multilayer perceptron and recurrent neural networks: absolute stability and dissipativity}, author={Johan A. K. Suykens and Joos Vandewalle and Bart De Moor}, journal={IEEE Trans. Autom. Control.}, year={1999}, volume={44}, pages={770-774} }

Sufficient conditions for absolute stability and dissipativity of continuous-time recurrent neural networks with two hidden layers are presented. In the autonomous case this is related to a Lur'e system with multilayer perceptron nonlinearity. Such models are obtained after parametrizing general nonlinear models and controllers by a multilayer perceptron with one hidden layer and representing the control scheme in standard plant form. The conditions are expressed as matrix inequalities and can…

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