Operator-based left coprime factorization for nonlinear systems

In this paper, a class of nonlinear systems are considered with the left coprime factorization approach. More specially, the stability of the nonlinear systems are guaranteed using the proposed design scheme that links the stability to the Bezout identity. At the same time, through the proposed scheme, left coprime factorization of the nonlinear system is verified. Based on the proposed design scheme, a sufficient condition is found to establish a relationship between the left coprime factorization and the right coprime factorization. Finally, a numerical simulation is given to confirm the effectiveness of the proposed method.