Parametrized Matrix Inequalities in Analysis of Linear Dynamic Systems
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Problems that can be reduced to polynomial and parametrized linear matrix inequalities are considered. Such problems arise, for example, in control theory. Well-known methods for their solution based on a search for nonnegative polynomials scale poorly and require significant computational resources. An approach based on systematic transformations of the problem under study to a form that can be addressed with simpler methods is presented.
Keywords:matrix inequalities nonconvex programming global optimization control theory 2D systems.
The author thanks P.V. Pakshin for valuable comments.
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