Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:C2L-C
Session:
Number:C2L-C-4
On Stability of State-Dependent Homogeneous Systems
Kenta Hoshino,
pp.673-676
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
This study deals with the stability analysis of dynamical systems whose vector fields possess the homogeneity. In particular, this study focuses on the case where the homogeneity of the vector fields depends on states of dynamical systems. Although the state dependent homogeneity has been employed in recent studies of the digital implementation of nonlinear control systems, their stability property has not been investigated. In this paper, we show that the local stability of the state dependent homogeneous systems implies the global stability. In addition, we show the existence of global homogeneous Lyapunov functions.