On the Construction of Coprime Factorization of Nonlinear Feedback Control Systems

In this paper, we present a new approach for constructing left and right coprime factorizations for a large class of (stable and unstable) nonlinear feedback control systems developed recently by the authors [7], under relatively weak conditions. The coprime factorization under investigation here was formulated by Hammer mer [14]. We will describe the proposed constructive scheme for obtaining explicit and closed-form solutions. The same technique presented in this paper works also for the left coprime factorization for a class of nonlinear control systems described by standard vector-valued nonlinear ordinary differential equations formulated by Verma [20], which has been demonstrated in the authors' [6].