The effect of coupling conditions on the stability of bimodal systems in R<SUP>3</SUP>
No Thumbnail Available
Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
This paper investigates the global asymptotic stability of a class of bimodal piecewise linear systems in R-3. The approach taken allows the vector field to be discontinuous on the switching plane. In this framework, verifiable necessary and sufficient conditions are proposed for global asymptotic stability of bimodal systems being considered. It is further shown that the way the subsystems are coupled on the switching plane plays a crucial role on global asymptotic stability. Along this line, it is demonstrated that a constant (which is called the coupling constant in the paper) can be changed without changing the eigenvalues of subsystems and this change can make bimodal system stable or unstable. (C) 2016 Elsevier B.V. All rights reserved.
Description
Şahan, Gökhan/0000-0002-2371-6648
Keywords
Bimodal system, Asymptotic stability, Discontinuous vector field, Piecewise linear systems, Coupling condition
Turkish CoHE Thesis Center URL
Citation
3
WoS Q
Q2
Scopus Q
Q2
Source
Volume
96
Issue
Start Page
141
End Page
150