Petersen's lemma on matrix uncertainty and its generalizations

Authors:
M. V. Khlebnikov;P. S. Shcherbakov
Affiliations:
Trapesnikov Institute of Control Science, Russian Academy of Sciences, Moscow, Russia;Trapesnikov Institute of Control Science, Russian Academy of Sciences, Moscow, Russia
Venue:
Automation and Remote Control
Year:
2008

Citing 3
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Abstract

Various generalizations and refinements are proposed for a well-known result on robust matrix sign-definiteness, which is extensively exploited in quadratic stability, design of robustly quadratically stabilizing controllers, robust LQR-problem, etc. The main emphasis is put on formulating the results in terms of linear matrix inequalities.