scientific article

zbMath1199.47001arXivmath/0612103MaRDI QIDQ3645522

Mihai Putinar, J. William Helton

Publication date: 18 November 2009

Full work available at URL: https://arxiv.org/abs/math/0612103

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

positive matricesmoment problemsfree \(*\)-algebrapositive functionalscontrol theory problemspolynomials having matrix variables

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Linear operator inequalities (47A63) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Positive matrices and their generalizations; cones of matrices (15B48) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Semialgebraic sets and related spaces (14P10) Real algebra (13J30)

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Uses Software

• Sostools
• SeDuMi
• LMI toolbox

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