Necessary and sufficient conditions for robust oscillatory stability

Gu, Nong, Yu, Wensheng, Xiang, Yong and Tan, Min 2007, Necessary and sufficient conditions for robust oscillatory stability, International journal of systems science, vol. 38, no. 2, pp. 179-185, doi: 10.1080/00207720601114170.

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Title Necessary and sufficient conditions for robust oscillatory stability
Author(s) Gu, Nong
Yu, Wensheng
Xiang, YongORCID iD for Xiang, Yong
Tan, Min
Journal name International journal of systems science
Volume number 38
Issue number 2
Start page 179
End page 185
Publisher Taylor and Francis Ltd
Place of publication London, England
Publication date 2007-01
ISSN 0020-7721
Keyword(s) robust oscillatory stability
uncertain system
interval polynomial family
diamond polynomial family
complete discrimination system
extreme point verification
Summary The problem of robust oscillatory stability of uncertain systems is investigated in this article. For the uncertain systems, whose characteristic polynomial sets belong to the interval polynomial family or diamond polynomial family, sufficient and necessary conditions are given based on the stability and/or oscillation properties of some special extreme point polynomials. A systematic approach exploiting Yang's complete discrmination system is proposed to check the robust oscillatory stability of such uncertain systems. The proposed method is efficient in computation and can be easily implemented.
Language eng
DOI 10.1080/00207720601114170
Field of Research 090601 Circuits and Systems
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©2007, Taylor & Francis
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Created: Wed, 24 Mar 2010, 21:53:21 EST by Nong Gu

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