Journal article

Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition.

Abstract:: We present a methodology for analyzing robust independent-of-delay and delay-dependent stability of equilibria of systems described by nonlinear Delay Differential Equations by algorithmically constructing appropriate Lyapunov-Krasovskii functionals using the sum of squares decomposition of multivariate polynomials and semidefinite programming. We illustrate the methodology using an example from population dynamics. © 2009 IEEE.

Publication status:: Published

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APA Style

Papachristodoulou, A., Peet, M., & Lall, S. (2009). Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition. IEEE Trans. Automat. Contr., 54(5), 1058–1064.

MLA Style

Papachristodoulou, A, et al. “Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition.” IEEE Trans. Automat. Contr., vol. 54, no. 5, 2009, pp. 1058–64.

Chicago Style

Papachristodoulou, A, M Peet, and S Lall. 2009. “Analysis of Polynomial Systems With Time Delays via the Sum of Squares Decomposition.” IEEE Trans. Automat. Contr. 54 (5): 1058–64.
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Publisher copy:: 10.1109/TAC.2009.2017168

Authors

+ Papachristodoulou, A More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Engineering Science
Role:: Author

+ Peet, M More by this author

Role:: Author

+ Lall, S More by this author

Role:: Author

Journal:: IEEE Trans. Automat. Contr. More from this journal
Volume:: 54
Issue:: 5
Pages:: 1058-1064
Publication date:: 2009-01-01
DOI:: 10.1109/TAC.2009.2017168
EISSN:: 1558-2523
ISSN:: 0018-9286

Language:: English
Keywords:: Lyapunov-Krasovskii

Linear matrix inequality (LMI)

sum of squares (SOS)

time delay
Pubs id:: pubs:64741
UUID:: uuid:0c851ce9-6551-4bc8-a067-ee8f9d1759c7
Local pid:: pubs:64741
Source identifiers:: 64741
Deposit date:: 2012-12-19
ARK identifier:: ark:/29072/ora_0c851ce965514bc8a067ee8f9d1759c7

Terms of use

Copyright date:: 2009

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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