Yeung, E and Gonçalves, J and Sandberg, H and Warnick, S (2011) *Mathematical relationships between representations of structure in linear interconnected dynamical systems.* Proceedings of the American Control Conference. pp. 4348-4353. ISSN 0743-1619

## Abstract

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 relationships 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. © 2011 AACC American Automatic Control Council.

Item Type: | Article |
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Subjects: | UNSPECIFIED |

Divisions: | Div F > Control |

Depositing User: | Cron Job |

Date Deposited: | 02 Sep 2016 17:08 |

Last Modified: | 01 Dec 2016 07:55 |

DOI: |