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A graph-theoretic approach to the construction of Lyapunov functions for coupled systems on networks

For coupled systems of differential equations on networks, a graph-theoretic approach to the construction of Lyapunov functions is systematically developed in this thesis. Kirchhoffs Matrix-Tree Theorem in graph theory plays
an essential role in the approachs development. The approach is successfully applied to several coupled systems well-known in the literature to demonstrate its applicability and effectiveness. / Applied Mathematics

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:AEU.10048/1305
Date11 1900
CreatorsShuai, Zhisheng
ContributorsLi, Michael (Mathematical and Statistical Sciences), Berger, Arno (Mathematical and Statistical Sciences), Muldowney, James (Mathematical and Statistical Sciences), Wang, Hao (Mathematical and Statistical Sciences), Han, Bin (Mathematical and Statistical Sciences), Marquez, Horacio (Electrical and Computer Engineering), Smith, Hal (Mathematical and Statistical Sciences, Arizona State University)
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
LanguageEnglish
Detected LanguageEnglish
TypeThesis
Format539897 bytes, application/pdf

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