Numerically Efficient Robustness Analysis of

this paper is to extend the robustness analysis techniques of linear systems, and in particular the associated computational methods, to nonlinear systems. Given the diversity of nonlinear behavior, it is clear that this cannot be done in complete generality and still maintain the efficiency and usability of the methods. In this paper we will develop analysis methods for a specific nonlinear robust performance problem. We will show that an efficient numerical algorithm can be developed to compute a lower bound on the corresponding performance index. The problem, and the corresponding algorithm, share the characteristics of current industrial practice mentioned earlie