On the Nonlinear Mixed Sensitivity Problem

Abstract

The nonlinear H∞ synthesis theory for the sensitivity minimization problem is extended to the two-block mixed sensitivity method. The synthesis method is valid for majorizable input/output operators and can be extended to operators that can be approximated by them. In particular, operators that are analytic in a ball around the origin in a complex Hilbert space are considered. It turns out that it is possible to express each n-linear term of the Taylor expansion of such an operator on a certain tensor space. In the development of the theory, some of the Toeplitz techniques are extended to linear operators defined on certain tensor spaces.