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Published February 1990 | Published
Journal Article Open

Quadratic stability with real and complex perturbations

Abstract

It is shown that the equivalence between real and complex perturbations in the context of quadratic stability to linear, fractional, unstructured perturbations does not hold when the perturbations are block structured. For a limited class of problems, quadratic stability in the face of structured complex perturbations is equivalent to a particular class of scaled norms, and hence appropriate synthesis techniques, coupled with diagonal constant scalings, can be used to design quadratically stable systems.

Additional Information

© 1990 IEEE. Manuscript received November 28, 1988. This work was supported by Honeywell SRC, AFOSR, ONR, and NASA. The authors would like to acknowledge K. Zhou, P. Khargonekar, and K. Poolla for helpful discussions.

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