Two theorems on controllability preserving decomposition of complex symmetry nonlinear systems | Zendy

Jun Zhao | Zendy; Jing Wei | Zendy; Kolemisevska Gugulovska | Zendy; Georgi M. Dimirovski | Zendy

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Two theorems on controllability preserving decomposition of complex symmetry nonlinear systems

Author(s) -

Jun Zhao,

Jing Wei,

Kolemisevska Gugulovska,

Georgi M. Dimirovski

Publication year - 2004

Publication title -

facta universitatis - series electronics and energetics

Language(s) - English

Resource type - Journals

eISSN - 2217-5997

pISSN - 0353-3670

DOI - 10.2298/fuee0401001z

Subject(s) - controllability , decomposition , homogeneous space , mathematics , quotient , class (philosophy) , basis (linear algebra) , pure mathematics , nonlinear system , symmetry (geometry) , algebra over a field , computer science , physics , geometry , chemistry , quantum mechanics , artificial intelligence , organic chemistry

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 drawn. Fi- nally, it is shown that controllability of the original systems can be determined by that of the subsystems, which are obtained through isomorphic decomposition. Corre- sponding sufcient and necessary conditions in terms of two new theorems have been derived.

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