On the nonlinear mixed sensitivity problem

Ciprian Foias, Allen Tannenbaum, Dale Enns, Tryphon Georgiou, Michael Jackson, Brian Schipper

Research output: Contribution to journalArticlepeer-review


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 as a linear 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.

Original languageEnglish (US)
Pages (from-to)986-989
Number of pages4
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - Dec 1 1989


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