On complex non-linear systems with symmetries: controllability preserving decomposition
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KünyeDimirovski, G. M. Jing, Y. W., Zhao, J., Kolemisevska-Gugulovska, T. D. (2002). On complex non-linear systems with symmetries: controllability preserving decomposition. In 9th IEEE International Conference on Electronics, Circuits and Systems, 2002, (pp. 883-886). [Piscataway, N.J.]. http://dx.doi.org/10.1109/ICECS.2002.1046389
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.