Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/33197
Title: General consideration for modeling and bifurcation analysis of switched dynamical systems
Authors: Ma, Y
Kawakami, H
Tse, CK 
Kousaka, T
Keywords: Bifurcation analysis
Modeling
Switched dynamical systems
Switching converters
Issue Date: 2006
Publisher: World Scientific
Source: International journal of bifurcation and chaos in applied sciences and engineering, 2006, v. 16, no. 3, p. 693-700 How to cite?
Journal: International journal of bifurcation and chaos in applied sciences and engineering 
Abstract: In much of the previous study of switched dynamical systems, it has been assumed that switching occurs at a common border between two regions in the same space as the system trajectory crosses the border. However, models arising from this consideration cannot cover systems whose trajectories do not actually "cross" the border. A typical example is the current-mode controlled boost converter whose trajectory is "reflected" at the border. In this paper, we propose a general method to model switched dynamical systems. Also, we suggest an analytical procedure to determine periodic solutions and their stability. The method is developed in terms of solution flows, and no solution has to be explicitly written. Most practical switched dynamical systems can be modeled and analyzed by this method.
URI: http://hdl.handle.net/10397/33197
ISSN: 0218-1274
EISSN: 1793-6551
DOI: 10.1142/S0218127406015052
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