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Structure of hierarchical linear systems with cyclic symmetry

Author(s):

M. Morari, Y. Wang
Conference/Journal:

Systems and Control Letters, vol. 58, no. 4, pp. 241-247
Abstract:

In this paper, we analyze the structure of hierarchical linear systems that are invariant under actions of finite cyclic groups. In particular, we consider N D n1n2    nm identical d-dimensional linear systems grouped into m hierarchies, such that in each level of hierarchy the partitioned subsystems are invariant under the action of cyclic groups. We prove that the equivalence classes of all possible partitions of such hierarchical systems have oneone correspondence with the decomposition of Nth order abelian groups into cyclic groups of prime power order. Keywords: Hierarchical linear systems, Cyclic symmetry, Abelian groups, Group classification.

Year:

2009
Type of Publication:

(01)Article
Supervisor:



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% Autogenerated BibTeX entry
@Article { MorWan:2009:IFA_3477,
    author={M. Morari and Y. Wang},
    title={{Structure of hierarchical linear systems with cyclic
	  symmetry}},
    journal={Systems and Control Letters},
    year={2009},
    volume={58},
    number={4},
    pages={241--247},
    month=apr,
    url={http://control.ee.ethz.ch/index.cgi?page=publications;action=details;id=3477}
}
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