화학공학소재연구정보센터
IEEE Transactions on Automatic Control, Vol.54, No.5, 1007-1011, 2009
Pre- and Post-Processing Sum-of-Squares Programs in Practice
Checking non-negativity of polynomials using sum-of-squares has recently been popularized and found many applications in control. Although the method is based on convex programming, the optimization problems rapidly grow and result in huge semidefinite programs. Additionally, they often become increasingly ill-conditioned. To alleviate these problems, it is important to exploit properties of the analyzed polynomial, and post-process the obtained solution. This technical note describes how the sum-of-squares module in the MATLAB toolbox YALMIP handles these issues.