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Extension of the S-procedure and analysis of the multidimensional control systems using linear matrix inequalities

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Abstract

Consideration was given to a generalization of the so-called S-procedure in the problem of sign-definiteness of the quadratic form under quadratic constraints. Application of the algebraic criterion obtained to analysis of the multidimensional control system was discussed. The results were formulated in terms of solvability of the linear matrix inequalities.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    L. B. Rapoport

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  1. L. B. Rapoport
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Additional information

This work was supported by the Russian Foundation for Basic Research, project no. 04-01-00391a, and the Complex Program of the Presidium of the Russian Academy of Sciences, project no. 19-1.5.

Translated from Avtomatika i Telemekhanika, No. 1, 2005, pp. 37–48.

Original Russian Text Copyright © 2005 by Rapoport.

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Rapoport, L.B. Extension of the S-procedure and analysis of the multidimensional control systems using linear matrix inequalities. Autom Remote Control 66, 31–42 (2005). https://doi.org/10.1007/s10513-005-0004-6

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  • DOI: https://doi.org/10.1007/s10513-005-0004-6

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