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Hybrid Dynamical Systems: Modeling, Stability and Interconnection
Hybride Dynamische Systeme: Modellierung, Stabilität und Zusammenschaltung
Zitieren Sie bitte immer diese URN: urn:nbn:de:bvb:20-opus-190993
- 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.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.
Autor(en): | Ratthaprom PromkamORCiD |
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URN: | urn:nbn:de:bvb:20-opus-190993 |
Dokumentart: | Dissertation |
Titelverleihende Fakultät: | Universität Würzburg, Fakultät für Mathematik und Informatik |
Institute der Universität: | Fakultät für Mathematik und Informatik / Institut für Mathematik |
Gutachter / Betreuer: | Prof. Dr. Sergey DashkovskiyORCiD |
Datum der Abschlussprüfung: | 26.07.2019 |
Sprache der Veröffentlichung: | Englisch |
Erscheinungsjahr: | 2019 |
DOI: | https://doi.org/10.25972/OPUS-19099 |
Allgemeine fachliche Zuordnung (DDC-Klassifikation): | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
Normierte Schlagworte (GND): | Dynamical system; Stability; Hybridsystem; Interconnection |
Freie Schlagwort(e): | Dynamical Systems; Hybrid Dynamical Systems; Lyapunov Stability; Small-Gain Theorem |
Fachklassifikation Mathematik (MSC): | 93-XX SYSTEMS THEORY; CONTROL (For optimal control, see 49-XX) / 93Dxx Stability / 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, Lp; lp, etc.) |
Datum der Freischaltung: | 08.11.2019 |
Lizenz (Deutsch): | CC BY-NC-SA: Creative-Commons-Lizenz: Namensnennung, Nicht kommerziell, Weitergabe unter gleichen Bedingungen 4.0 International |