Weighted Optimization Theory for Nonlinear Systems
Tannenbaum, Allen R.
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In this paper, the solution of a nonlinear version of the weighted sensitivity H∞-optimization problem is discussed. It is shown that the natural object to be considered in this context is a certain "sensitivity operator," which will be optimized locally in a given "energy ball" (see §5 for the details). In the linear case, the authors are reduced again to the classical sensitivity minimization technique of Zames . The methods were very strongly influenced by the complex analytic power series ideas of , , . See also the recent results of Ball and Helton  for another approach to this subject.