The criteria of robust right coprime factorization of the nonlinear operator in the generalized sense

Right coprime factorization provides a powerful tool for the study of robust stability of nonlinear systems. Some equivalent conditions of the existence of robust right coprime factorization is proposed in the generalized sense including input-output approach and the Bezout method in this paper, which is of the meaning of methodology solving the complicated factorization of the nonlinear operator problem. The main result is that the feedback system designed in this paper and the right coprime factorization is equivalent to the robustness stability.