Mechanical Engineering ETDs

Publication Date

Spring 4-30-2020

Abstract

The control of complex networks is an emerging field yet it has already garnered interest from across the scientific disciplines, from robotics to sociology. It has quickly been noticed that many of the classical techniques from controls engineering, while applicable, are not as illuminating as they were for single systems of relatively small dimension. Instead, properties borrowed from graph theory provide equivalent but more practical conditions to guarantee controllability, reachability, observability, and other typical properties of interest to the controls engineer when dealing with large networked systems. This manuscript covers three topics investigated in detail by the author: (i) the role of the choice of target nodes (system outputs) on the control effort, (ii) creating and analyzing graphs with symmetry, and (iii) the relationship between graph structural properties and control effort.

Keywords

Networks, Optimization, Control, Optimal Control

Degree Name

Mechanical Engineering

Level of Degree

Doctoral

Department Name

Mechanical Engineering

First Committee Member (Chair)

Francesco Sorrentino

Second Committee Member

Meeko Oishi

Third Committee Member

Marios Pattichis

Fourth Committee Member

John Russell

Fifth Committee Member

Christopher Hall

Document Type

Dissertation

Language

English

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