Contents V.10, N.2, 2019

  • ALGORITHM FOR SOLVING THE SYSTEMS OF THE GENERALIZED SYLVESTER-TRANSPOSE MATRIX EQUATIONS USING LMI
    FIKRET A. ALIEV , VLADIMIR B. LARIN , NAILA VELIEVA , KAMILA GASIMOVA, SHARGIYYA FARADJOVA (pp. 239-245)

    • Abstract.

    NULLThe solving for the systems of the generalized Sylvester-transpose matrix equations is given using the techniques of linear matrix inequalities (LMI). An algorithm for its solving is developed. The essence of the method is to minimize the linear functional, composed of the residual Sylvester equations and some unknown parameter. Examples of the analysis of the obtained results are provided.

    Keywords:

    algebraic Sylvester equation, linear matrix inequality, linear systems, minimizing, residuals.

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