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- Title
Necessary and sufficient conditions for global asymptotic stability of a class of bimodal systems with discontinuous vector fields.
- Authors
Öner, Işıl; Eldem, Vasfi
- Abstract
In this article, we derive the necessary and sufficient conditions for global asymptotic stability of a class of bimodal piecewise linear systems in |$\mathbb{R}^{3}$|, where first mode has complex eigenvalues and the second mode has only real eigenvalues. The vector field is allowed to be discontinuous on the switching plane. The effect of discontinuity is illustrated by two examples.
- Subjects
GLOBAL asymptotic stability; DISCONTINUOUS functions; VECTOR fields; EIGENVALUES; MATHEMATICAL functions
- Publication
IMA Journal of Mathematical Control & Information, 2018, Vol 35, Issue 4, p1129
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnx018