Linear approach to steady-state control problem for nonlinear normalized models

The following control problem for nonlinear normalized models is considered: the nonlinear model have to be moved from one steady-state to another, using constant inputs so that model outputs should change in specified directions. The linear approach is used to solve this problem. If the model is in some steady-state, an auxiliary linear system having the same steady-state is constructed, and original control problem is solved for steady-states of this linear system. Sufficient conditions of fitness of linear control obtained by ordinary least squares are formulated for solving original control nonlinear problem.