IEEE Transactions on Automatic Control, Vol.54, No.5, 1159-1165, 2009
Upper Bounds for Induced Operator Norms of Nonlinear Systems
In this technical note, new methods are proposed to compute upper bounds on the L-1, L-2 and L-infinity induced operator norms of continuous-time nonlinear systems. These methods are based on the so-called CA representation of nonlinear systems, which was introduced earlier by the authors. Examples are provided in order to show the applicability of our approach. Moreover, a weighting technique is suggested to improve the upper bounds.