LMIs in Control/Click here to continue/Fundamentals of Matrix and LMIs/Submatrix Determinants and Imaginary and Real Parts

Submatrix Determinants

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Required data

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Consider  , Let  be a submatrix of A consisting of its first  rows and columns, where  .

Matrix inequality

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The matrix inequality   is satisfied if and only if

 .

Imaginary and Real Parts

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Required data

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Consider  ,  ,  ,

Matrix inequality

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The matrix inequality,   is equivalent to the matrix inequality given by

 .

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