TY  - THES
A1  - Promkam, Ratthaprom
T1  - Hybrid Dynamical Systems: Modeling, Stability and Interconnection
T1  - Hybride Dynamische Systeme: Modellierung, Stabilität und Zusammenschaltung
N2  - 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.
N2  - Entwicklung eines Frameworks für hybride dynamische Systeme zur Decomkosition oder Komposition solcher Systeme. Untersuchung der Stabilität von gekoppelten hybriden Systemen.
KW  - Dynamical system
KW  - Stability
KW  - Hybridsystem
KW  - Interconnection
KW  - Dynamical Systems
KW  - Lyapunov Stability
KW  - Hybrid Dynamical Systems
KW  - Small-Gain Theorem
Y1  - 2019
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-190993
ER  -