Reference : Mathematical relationships between representations of structure in linear interconnec...
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/10993/20350
Mathematical relationships between representations of structure in linear interconnected dynamical systems
English
Yeung, E. mailto [> >]
Goncalves, Jorge mailto [University of Luxembourg > Luxembourg Centre for Systems Biomedicine (LCSB) > >]
Sandberg, H. [> >]
Warnick, S. mailto [> >]
2011
The proceedings of the 2011 American Control Conference (ACC)
IEEE
4348-4353
Yes
978-1-4577-0080-4
2011 American Control Conference (ACC)
from June 29 2011 to July 1 2011
San Francisco, CA
USA
[en] A dynamical system can exhibit structure on multiple levels. Different system representations can capture different elements of a dynamical system's structure. We consider LTI input-output dynamical systems and present four representations of structure: complete computational structure, subsystem structure, signal structure, and input output sparsity structure. We then explore some of the mathematical relation ships that relate these different representations of structure. In particular, we show that signal and subsystem structure are fundamentally different ways of representing system structure. A signal structure does not always specify a unique subsystem structure nor does subsystem structure always specify a unique signal structure. We illustrate these concepts with a numerical example.
http://hdl.handle.net/10993/20350
10.1109/ACC.2011.5991314

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