Functional reproducibility of general multivariable analytic non-linear systems

In this paper the functional reproducibility of a general multivariable analytic nonlinear system of the form x =f(x, u), y = h{x, u) will be discussed, where the state space is a real analytic manifold. A general inversion algorithm is presented for the system. A sufficient and necessary condition for the functional reproducibility of the system is derived. The construction of a right-inverse system is also included.