LMIs in Control/Minimum-Rank Solutions of Linear Matrix Equations

The information in this chapter is referenced from: "Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization" by Benjamin Recht, Maryam Fazel, and Pablo A. Parrilo, published in SIAM Review 2010, Volume 52, Issue 3, pages 471-501.

Contents

 * /Rank minimization problem: general form/


 * /Minimum-Order Linear System Realization via minimizing the rank of the Hankel matrix/


 * /Low-Rank Matrix Completion/


 * /Low-Dimensional Euclidean Embedding Problem /


 * /Nuclear Norm Minimization/


 * /Nuclear Norm Minimization/


 * /Low-Rank Parametrization/