Kernel representations for nonlinear systems with generalized disturbances: stabilization

Abstract

This paper deals with the stability of nonlinear systems subject to generalized disturbances. The first purpose is to give sufficient conditions for the stability of the interconnection of such systems. The second one is to provide a coprime kernel representation for the plant and the controller when both the plant and the controller have right coprime factorization. In this case, the concepts of strong stability and internal stability are equivalent.