A note on the stability of bimodal systems in with discontinuous vector fields
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Date
2015
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Ltd
Abstract
This paper presents the necessary and sufficient conditions for global asymptotic stability of a class of bimodal piecewise linear systems in [GRAPHICS] . The approach being used allows the vector field to be discontinuous on the switching plane. It is shown that the discontinuity of the vector field plays a crucial role in global asymptotic stability. This point is illustrated by examples, where the change in the discontinuity of the vector field (without changing the eigenvalues of subsystems) can cause the system to be globally asymptotically stable or unstable.
Description
Oner, Isıl/0000-0002-4283-4033
Keywords
discontinuous vector field, bimodal systems, asymptotic stability, piecewise linear systems
Turkish CoHE Thesis Center URL
Citation
7
WoS Q
Q3
Scopus Q
Q2
Source
Volume
88
Issue
4
Start Page
729
End Page
744