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MODARES JOURNAL OF ELECTRICAL ENGINEERING
In this paper, stabilization conditions and controller design for a class of nonlinear systems are proposed. The proposed method is based on the nonlinear feedback, quadratic Lyapunov function and heuristic slack matrices definition. These slack matrices in null products are derived using the properties of the system dynamics. Based on the Lyapunov stability theorem and Sum of Squares (SOS) decomposition techniques, the conditions are derived in terms of SOS. This approach has two mainfatcat:6gg5mco4hfcsnky67djtrvnznu