Lα operator-based the right coprime factorization for nonlinear systems

In this paper, a new definition of a L_α operator is introduced for considering the right coprime factorization theory to stabilize the nonlinear system. First, some basic knowledge about nonlinear operators are reviewed. Second, the new definition of the L_α operator is introduced, and then based on the L_α operator, some theorems are derived. And considering the right coprime factorization, the new norm, generalized L_α operator, is applied to stabilize the nonlinear system. Finally, an numerical example is given to show the effectiveness of the proposed method.