Please use this identifier to cite or link to this item: https://doi.org/10.1109/TCSI.2002.805732
Title: Local stability of limit cycles for time-delay relay-feedback systems
Authors: Lin, C. 
Wang, Q.-G. 
Lee, T.H. 
Lam, J.
Keywords: Hysteresis
Limit cycles
Local stability
Relay-feedback systems
Time delay
Issue Date: Dec-2002
Source: Lin, C., Wang, Q.-G., Lee, T.H., Lam, J. (2002-12). Local stability of limit cycles for time-delay relay-feedback systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 49 (12) : 1870-1875. ScholarBank@NUS Repository. https://doi.org/10.1109/TCSI.2002.805732
Abstract: This brief is concerned with the local stability of limit cycles for linear systems under relay feedback, for the cases where the linear system includes a time-delay in its dynamics and the relay can possess asymmetric hysteresis. The limit cycle considered can be asymmetric, have more than two switchings a period, zero output derivatives at the switching instants. It shows that if a certain constructed matrix is Schur stable, then, the local stability of the considered limit cycle is guaranteed. The effectiveness of the presented results is illustrated by a numerical example.
Source Title: IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
URI: http://scholarbank.nus.edu.sg/handle/10635/56511
ISSN: 10577122
DOI: 10.1109/TCSI.2002.805732
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