A Functional Expansion Approach to the Solution of Nonlinear Feedback Systems.

This paper presented two results: a new structure for the solution of nonlinear analytic systems, and an application of Bellman's Fundamental Technique to obtain the sub-optimal-feedback control of a class of quasilinear systems with non-quadratic performance indices. The application of the Fundamental Technique with a nonlinear auxiliary equation is shown to result in higher order approximating equations which are linear. Using the method by separation of variables, two examples are solved. (Author)