The linearization of a Composite Large-scale Nonlinear System

This paper studies the linearization of a similar large-scale nonlinear control system using differential geometry methods. The large-scale nonlinear control system consists of N n-dimensional subsystems which have similar characteristic and relation. It is shown that the large-scale nonlinear control system is linearizable at the neighbour of one point if and only if each subsystem has m output functions and the sum of the corresponding characteristic index is equal to the dimension of the subspace n and the index matrix has rank m.