Lα Operator-based the Right Coprime Factorization for Nonlinear Systems

In this paper, a new definition of a L-alpha 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-alpha operator is introduced, and then based on the L-alpha operator, some theorems are derived. And considering the right coprime factorization, the new norm, generalized L-alpha operator, is applied to stabilize the nonlinear system. Finally, an numerical example is given to show the effectiveness of the proposed method.