Ling, Wing-Kuen, Ho, Charlotte Yuk-Fan, Leung, Raymond Shing-Keung et al and Tam, Peter Kwong-Shun
(2004)
Oscillation and convergence behaviors exhibited in an ‘unstable’ second-order digital filter with saturation-type nonlinearity.
International Journal of Circuit Theory and Applications, 32
(2).
pp. 57-64.
ISSN 0098-9886
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| Item Type: | Article |
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| Item Status: | Live Archive |
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Abstract
This letter explains the oscillatory behaviors exhibited in a second-order digital filter with saturation-type nonlinearity via the Hopf bifurcation theorem. It is shown that depending on the bifurcation parameter, the state variables may converge to zero even when the eigenvalues of the system matrix are outside the unit circle.
| Additional Information: | This letter explains the oscillatory behaviors exhibited in a second-order digital filter with saturation-type nonlinearity via the Hopf bifurcation theorem. It is shown that depending on the bifurcation parameter, the state variables may converge to zero even when the eigenvalues of the system matrix are outside the unit circle. |
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| Keywords: | second-order digital filter, saturation-type nonlienarity, Hopf bifurcation theorem |
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| Subjects: | H Engineering > H310 Dynamics |
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| Divisions: | College of Science > School of Engineering |
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| ID Code: | 3061 |
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| Deposited On: | 06 Aug 2010 13:20 |
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