Year: 2023
Author: Yuhong Zhang, Weisheng Huang, Xiaosong Yang
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 228–246
Abstract
In this paper, we investigate the boundary of the attraction basin of a class of piecewise linear systems arising from anti-stable linear systems with saturated linear state feedback. In three-dimensional cases, for this class of systems, we prove that the equilibrium points other than the origin lie on the boundary of the attraction basin of the origin. This gives strong evidence that the boundary of the attraction basin is homeomorphic to a sphere. Some examples are provided to illustrate the results.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.228
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 2 : pp. 228–246
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Piecewise linear system boundary of attraction basin index saturated state feedback.