On complex non-linear systems with symmetries: controllability preserving decomposition

Abstract

In this paper the problems on isomorphic decomposition and controllability of a class of nonlinear systems possessing symmetries on basis of quotient systems is studied. The isomorphic decomposition formations of these systems are derived. Finally, it is shown that controllability of the original systems can be determined by that of the subsystems, which are obtained through isomorphic decomposition. The corresponding sufficient and necessary conditions are given. Two new theoretical results have been proved.