Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/10188
Title: Structure and stability of bimodal systems in R-3: Part 1
Authors: Eldem, Vasfi
Şahan, Gökhan
Keywords: Bimodal systems
Fixed directions
Global asymptotic stability
Stability cones
Switched mode systems
Issue Date: 2014
Publisher: Azerbaijan National Academy of Sciences
Abstract: In this paper, the structure and global asymptotic stability of bimodal systems in R3 are investigated under a set of assumptions which simplify the geometric structure. It is basically shown that one of the assumptions being used reduces the stability problem in R3 to the stability problem in R2. However, structural analysis shows that the behavior of the trajectories changes radically upon the change of the parameters of individual subsystems. The approach taken is based on the classification of the trajectories of bimodal systems as i) the trajectories which change modes finite number of times as t ? ?, and ii) the trajectories which change modes infinite number of times as t ? ?. Finally, it is noted that this approach can be used without some of the assumptions for all bimodal systems in R3, and for bimodal systems in Rn. © 2014, Azerbaijan National Academy of Sciences. All rights reserved.
URI: https://hdl.handle.net/11147/10188
ISSN: 1683-3511
1683-6154
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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