Generalized cellular neural networks represented in the NL/sub q/ framework
Johan A. K. Suykens, Joos P. L. Vandewalle · 2002
The aim of this paper is to show that discrete time Generalized Cellular Neural Networks, with feedforward, feedback or cascade interconnections between CNNs can be represented as NL/sub q/s. NL/sub q/s are nonlinear systems in state space form with the typical feature of having a number of q layers with alternating linear and nonlinear operators that satisfy a sector condition. It can be shown that many systems and problems arising in neural networks, systems and control are special cases of NL/sub q/s. Sufficient conditions for global asymptotic stability and dissipativity with finite L/sub 2/-gain are available. For q=1 the criteria are closely related to known results in H/sub /spl infin// and /spl mu/ control theory.