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  D-Stability and Delay-Independent Stability of Homogeneous Cooperative Systems

Bokharaie, V., Mason, O., & Verwoerd, M. (2010). D-Stability and Delay-Independent Stability of Homogeneous Cooperative Systems. IEEE Transactions on Automatic Control, 55(12), 2882-2885. doi:10.1109/TAC.2010.2076334.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0002-689A-C Version Permalink: http://hdl.handle.net/21.11116/0000-0002-689B-B
Genre: Journal Article

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https://ieeexplore.ieee.org/document/5570915 (Publisher version)
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 Creators:
Bokharaie, VS1, Author              
Mason, O, Author
Verwoerd, M, Author
Affiliations:
1Hamilton Institute, National University of Ireland, ou_persistent22              

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 Abstract: We introduce a nonlinear definition of D-stability, extending the usual concept for positive linear time-invariant systems. We show that globally asymptotically stable, cooperative systems, homogeneous of any order with respect to arbitrary dilation maps are D-stable. We also prove a strong stability result for delayed cooperative homogeneous systems. Finally, we show that both of these results also hold for planar cooperative systems without the restriction of homogeneity.

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 Dates: 2010-12
 Publication Status: Published in print
 Pages: -
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 Table of Contents: -
 Rev. Method: -
 Identifiers: DOI: 10.1109/TAC.2010.2076334
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Title: IEEE Transactions on Automatic Control
Source Genre: Journal
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Publ. Info: New York, NY : Institute of Electrical and Electronics Engineers
Pages: - Volume / Issue: 55 (12) Sequence Number: - Start / End Page: 2882 - 2885 Identifier: ISSN: 0018-9286
CoNE: https://pure.mpg.de/cone/journals/resource/991042742946062