Equivalent Characterization of Invariant Subspaces of H 2 and Applications to Optimal Sensitivity Problem

This paper gives some equivalent characterizations for invariant subspaces of H, when the underlying structure is specified by the so-called pseudorational transfer functions. This plays a fundamental role in computing the optimal sensitivity for a certain important class of infinite-dimensional systems, including delay systems. A closed formula, easier to compute than the well-known Zhou-Khargonekar formula, is given for optimal sensitivity for such systems. An example is given to illustrate the result.

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