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Hybrid Dynamical Systems: Modeling, Stability and Interconnection / Hybride Dynamische Systeme: Modellierung, Stabilität und Zusammenschaltung

This work deals with a class of nonlinear dynamical systems exhibiting both continuous and discrete dynamics, which is called as hybrid dynamical system.
We provide a broader framework of generalized hybrid dynamical systems allowing us to handle issues on modeling, stability and interconnections.
Various sufficient stability conditions are proposed by extensions of direct Lyapunov method.
We also explicitly show Lyapunov formulations of the nonlinear small-gain theorems for interconnected input-to-state stable hybrid dynamical systems.
Applications on modeling and stability of hybrid dynamical systems are given by effective strategies of vaccination programs to control a spread of disease in epidemic systems. / Entwicklung eines Frameworks für hybride dynamische Systeme zur Decomkosition oder Komposition solcher Systeme. Untersuchung der Stabilität von gekoppelten hybriden Systemen.

Identiferoai:union.ndltd.org:uni-wuerzburg.de/oai:opus.bibliothek.uni-wuerzburg.de:19099
Date January 2019
CreatorsPromkam, Ratthaprom
Source SetsUniversity of Würzburg
LanguageEnglish
Detected LanguageEnglish
Typedoctoralthesis, doc-type:doctoralThesis
Formatapplication/pdf
Rightshttps://creativecommons.org/licenses/by-nc-sa/4.0/deed.de, info:eu-repo/semantics/openAccess

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