IEEE Transactions on Automatic Control, Vol.46, No.12, 2031-2035, 2001
Further results for systems with repeated scalar nonlinearities
The class of nonlinear systems described by a discrete-time state-equation containing a repeated scalar nonlinearity is considered. This note sharpens several previous results on the performance synthesis and model reduction for such systems. Extensions to the case that the nonlinearity is not an odd function are also discussed.
Keywords:diagonally dominant matrices;integral quadratic constraints;linear matrix inequalities;M-matrices;model reduction;recurrent neural networks;Stieltjes matrices