Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/9937
Title: Stability analysis of periodic orbits of nonautonomous piecewise-linear systems by mapping approach
Authors: Zhao, Y
Feng, J
Tse, CK 
Keywords: Discrete-time mapping
Duffing oscillator
Nonautonomous piecewise-linear systems (PLSs)
Stability
Issue Date: 2009
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on circuits and systems. II, Express briefs, 2009, v. 56, no. 11, 5306108, p. 845-849 How to cite?
Journal: IEEE transactions on circuits and systems. II, Express briefs 
Abstract: In this brief, we present an exact stability analysis for periodic orbits of nonautonomous piecewise-linear systems. The described discrete-time maps are derived by connecting solutions at the switched points and solving relevant sets of linear differential equations. The coordinates of the switched points of the periodic orbit on each switching surface and the corresponding Jacobians are obtained. Theoretical analysis and simulation results for the piecewise-linear Duffing oscillator and Colpitts oscillator are presented to illustrate the proposed method.
URI: http://hdl.handle.net/10397/9937
ISSN: 1549-7747
EISSN: 1558-3791
DOI: 10.1109/TCSII.2009.2032475
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