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
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:AEU.10048/1305 |
| Date | 11 1900 |
| Creators | Shuai, Zhisheng |
| Contributors | Li, 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 Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | 539897 bytes, application/pdf |
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