Improvement of Convergence of the Overbounding Approximation Method for BMI problems by Regularization Term

This paper concerns with the regularization term for the overbounding approximation method. The overbounding approximation is one of the methods for solving bilinear matrix inequality (BMI) problems, but the overbounding approximation has problems about its convergence. This paper proposed a new weight parameters of the regularization terms to improve the convergence.