Stability Analysis of Coupled Discrete Time Systems On an Invariant Cone

Graduate Thesis Or Dissertation

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Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/sq87c1179

Descriptions

Attribute Name	Values
Creator	Fletcher, Sally
Abstract	This paper concerns a question that frequently occurs in various applications: Is any dispersal coupling of stable discrete linear systems, also stable? Although it has been known this is not the case, we shall identify a reasonably diverse class of systems for which it is true. We shall employ the use of common linear Lyapunov functions to define sufficient conditions for the stability of a coupled system for several different models. We will also present necessary and sufficient conditions for when these functions exist for a given system.
License	All rights reserved
Resource Type	Masters Thesis
Date Issued	2019
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2020
Advisor	DeLeenheer, Patrick
Committee Member	Smythe, Robert Dascaliuc, Radu Thomann, Enrique
Academic Affiliation	Mathematics
Rights Statement	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]

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