L/sub 2/-gain computation for nonlinear systems using optimal control algorithms

We focus on the computation for the L/sub 2/-gain of nonlinear systems over a finite horizon. Based on the similarity between L/sub 2/-gain calculation problems and optimal control problems, we present a new computational algorithm for L/sub 2/-gain of nonlinear systems. We also prove that accumulation points generated by the algorithm, if they exist, satisfy the necessary conditions for optimality derived from the L/sub 2/-gain calculation problems. Lastly, the effectiveness of the algorithm is demonstrated through some simulations.