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

Author

Dimirovski, G.M. ; Jing, Y.-W. ; Zhao, J. ; Kolemisevska-Gugulovska, T.D.

Author_Institution

Dept. of Comput. Eng., Dogus Univ., Istanbul, Turkey

Volume

3

fYear

2002

fDate

2002

Firstpage

883

Abstract

In this paper, the problems of isomorphic decomposition and controllability of a class of nonlinear systems possessing symmetries, on the 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.

Keywords

control system analysis; controllability; differential geometry; feedback; nonlinear control systems; symmetry; complex nonlinear control systems; control feedback; control system symmetry; differential-geometric techniques; nonlinear system class isomorphic decomposition formations; quotient systems; subsystem controllability; system controllability preserving decomposition; Automatic control; Automation; Control systems; Controllability; Feedback; Information science; Mathematical model; Nonlinear control systems; Nonlinear systems; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

Electronics, Circuits and Systems, 2002. 9th International Conference on

Print_ISBN

0-7803-7596-3

Type

conf

DOI

10.1109/ICECS.2002.1046389

Filename

1046389