Polynomial level-set method for attractor estimation

► A sum-of-squares advection algorithm is proposed to estimate minimal attractors. ► Star-shaped constraint is not required in the proposed algorithm. ► Sets are represented as 0-sub-level-sets of polynomials so the required storage space is small. ► The advection algorithm is formulated as a semi-definite problem and can be solves using existing solvers. ► Computational time of the proposed algorithm is analyzed.