Zhao, S. orcid.org/0000-0003-3098-8059 and Pasqualetti, F. (2017) Discrete-Time Networks with Diagonal Controllability Gramian. In: IFAC-PapersOnLine. 20th IFAC World Congress, 09/07/2017 - 14/07/2017, Toulouse, France. Elsevier , pp. 8297-8302.
Abstract
The controllability Gramian of a dynamical network carries rich information of the fundamental properties of the network. How to identify the connections from these fundamental properties to the network topology and weights is of great interest. It is, however, very challenging to do that because the Gramian is an extremely complicated function of the network topology and weights. In this paper, we consider the simplest case where the Gramian is diagonal. One of the main contributions of this paper is to prove the necessary and sufficient graphical conditions for a discrete-time dynamical network to feature a diagonal Gramian. The explicit relations between the values of the diagonal entries of the Gramian and the network weights are also established. The proposed results may be used to design networks with desired control energy and robustness performance.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 IFAC. This is an author produced version of a paper subsequently published in IFAC-PapersOnLine. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/) |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 19 Apr 2017 09:03 |
Last Modified: | 04 Nov 2017 14:03 |
Published Version: | https://doi.org/10.1016/j.ifacol.2017.08.1407 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.ifacol.2017.08.1407 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:115118 |