LMIs in Control/Matrix and LMI Properties and Tools/Frobenius Norm: Revision history

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3 December 2021

  • curprev 08:2508:25, 3 December 2021 imported>Yliao56 1,158 bytes +1,158 Created page with "== ''' Frobenius Norm''' == Consider <math>A\in \R^{n\times m} </math> and <math>\gamma\in \R</math><sub>>0</sub> The Frobenius norm of <math>A </math> is <math>||A|| </math><sub>F</sub> =<math>\sqrt{tr(A^{T}A)}=\sqrt{tr(AA^{T})}</math> The Frobenius norm is less than or equal to <math>\gamma</math> if and only if any of the following equivalent conditions are satisfied. 1.There exists <math>S\in \R^{n} </math> such that ::<math> \begin{bmatrix} Z & A^{T} \\..."
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