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Published 1995 | Published
Book Section - Chapter Open

Fundamental inertia conditions for the solution of H^∞-problems

Abstract

We study the relation between the solutions of two minimization problems with indefinite quadratic forms. We show that a complete link between both solutions can be established by invoking a fundamental set of inertia conditions. While these inertia conditions are automatically satisfied in a standard Hilbert space setting, they nevertheless turn out to mark the differences between the two optimization problems in indefinite metric spaces. They also include, as special cases, the well-known conditions for the existence of H^∞-filters and controllers.

Additional Information

© 1995 IEEE. This work was supported in part by a Research Initiation Award from the National Science Foundation under award no. MIP-9409319, and by the Army Research Office under contract DAAL03-89-K-0109

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