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Parametrized Matrix Inequalities in Analysis of Linear Dynamic Systems

  • V. V. Pozdyayev
Article
  • 17 Downloads

Abstract

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. 

Notes

ACKNOWLEDGMENTS

The author thanks P.V. Pakshin for valuable comments.

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Arzamas Polytechnic Institute, Branch of Alekseev Nizhny Novgorod State Technical UniversityArzamasRussia

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