Factorization of nonlinear systems: toward a theory for nonlinear H/sup infinity / control

A natural approach to H/sup infinity / control for nonlinear systems, by developing a theory of factorization for a nonlinear time-invariant causal map, is presented. Whenever such factorizations exist with well-behaved frequency-response function, theta , then a substantial class of nonlinear control problems can be solved. The author reports progress toward developing state-space formulas for constructing theta that generalize formulas of J.A. Ball and A. Ran (1987), which are the discrete-time version of Glover's equations.<
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