The theory of the structural identification of non-linear multidimensional systems

The qualitative properties of a posteriori dynamic processes, which allow of a continuous Kalman-Mesarovic realization in a class of non-linear time-invariant multidimensional differential systems of minimum dynamic order are investigated when there are no constantly acting preset controls. It is shown that, in the general case, there are structural obstacles on this route. A constructive procedure for obtaining such differential realizations is proposed which is illustrated taking the example of spatial rotational motion (with damping), described by Euler's equations.