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Solvability conditions for a second-order system of linear matrix inequalities

  • Control in Deterministic Systems
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Abstract

The necessary and sufficient conditions for solvability of a second-order system of linear matrix inequalities that can be reduced to two or three scalar inequalities of the second order are presented.

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Authors and Affiliations

  1. Arzamas Polytechnic Institute, a Branch of Nizhni Novgorod State Technical University, Russia

    P. V. Pakshin & V. V. Pozdyaev

Authors
  1. P. V. Pakshin
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  2. V. V. Pozdyaev
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Original Russian Text © P.V. Pakshin, V.V. Pozdyaev, 2006, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2006, No. 5, pp. 5–14.

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Pakshin, P.V., Pozdyaev, V.V. Solvability conditions for a second-order system of linear matrix inequalities. J. Comput. Syst. Sci. Int. 45, 681–689 (2006). https://doi.org/10.1134/S1064230706050017

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  • DOI: https://doi.org/10.1134/S1064230706050017

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