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Controllability of Networks of Linea...

Hosseini, Seyed Sina Jahadihosseini.

Controllability of Networks of Linear Systems: A Graph Theoretic Approach.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Controllability of Networks of Linear Systems: A Graph Theoretic Approach.
Author:	Hosseini, Seyed Sina Jahadihosseini.
Published:	Ann Arbor : ProQuest Dissertations & Theses, 2018
Description:	91 p.
Notes:	Source: Masters Abstracts International, Volume: 58-01.
Notes:	Adviser: Luca Scardovi.
Contained By:	Masters Abstracts International58-01(E).
Subject:	Communication.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10744914
ISBN:	9780438184213

Controllability of Networks of Linear Systems: A Graph Theoretic Approach.
Hosseini, Seyed Sina Jahadihosseini.

Controllability of Networks of Linear Systems: A Graph Theoretic Approach. - Ann Arbor : ProQuest Dissertations & Theses, 2018 - 91 p.

Source: Masters Abstracts International, Volume: 58-01.

Thesis (M.A.S.)--University of Toronto (Canada), 2018.

In this thesis, we study the controllability of networked single-input single-output linear time-invariant systems. We show that necessary conditions for the controllability of networks of single-integrators such as dilation, input-symmetry and equitable partitioning do not apply, in general, to more complex networks. We introduce new necessary and sufficient conditions for the controllability of networks in terms of the interconnection topology and sub-systems' properties. We also provide a number of graph-theoretic necessary conditions for controllability of networks. As a particular case of our results, we will provide necessary conditions for the controllability of diffusively coupled networks. Finally, we illustrate our results by studying the controllability of a simple neuronal network model.

ISBN: 9780438184213Subjects--Topical Terms:

180335
Communication.

Controllability of Networks of Linear Systems: A Graph Theoretic Approach.
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520 $a In this thesis, we study the controllability of networked single-input single-output linear time-invariant systems. We show that necessary conditions for the controllability of networks of single-integrators such as dilation, input-symmetry and equitable partitioning do not apply, in general, to more complex networks. We introduce new necessary and sufficient conditions for the controllability of networks in terms of the interconnection topology and sub-systems' properties. We also provide a number of graph-theoretic necessary conditions for controllability of networks. As a particular case of our results, we will provide necessary conditions for the controllability of diffusively coupled networks. Finally, we illustrate our results by studying the controllability of a simple neuronal network model.
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