SOS for nonlinear delayed models in biology and networking

Antonis Papachristodoulou, Matthew Peet

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this chapter we illustrate how the Sum of Squares decomposition can be used for understanding the stability properties of models of models of biological and communication networks. The models we consider are in the form of nonlinear delay differential equations with multiple, incommensurate delays. Using the sum of squares approach, appropriate Lyapunov-Krasovskii functionals can be constructed, both for testing delay-independent and delay-dependent stability. We illustrate the methodology using examples from congestion control for the Internet and gene regulatory networks.

Original languageEnglish (US)
Title of host publicationLecture Notes in Control and Information Sciences
Pages133-143
Number of pages11
Volume388
DOIs
StatePublished - 2009
Externally publishedYes

Publication series

NameLecture Notes in Control and Information Sciences
Volume388
ISSN (Print)01708643

Fingerprint

non-linear model
networking
biology
Internet
communication
methodology

ASJC Scopus subject areas

  • Library and Information Sciences

Cite this

Papachristodoulou, A., & Peet, M. (2009). SOS for nonlinear delayed models in biology and networking. In Lecture Notes in Control and Information Sciences (Vol. 388, pp. 133-143). (Lecture Notes in Control and Information Sciences; Vol. 388). https://doi.org/10.1007/978-3-642-02897-7_12

SOS for nonlinear delayed models in biology and networking. / Papachristodoulou, Antonis; Peet, Matthew.

Lecture Notes in Control and Information Sciences. Vol. 388 2009. p. 133-143 (Lecture Notes in Control and Information Sciences; Vol. 388).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Papachristodoulou, A & Peet, M 2009, SOS for nonlinear delayed models in biology and networking. in Lecture Notes in Control and Information Sciences. vol. 388, Lecture Notes in Control and Information Sciences, vol. 388, pp. 133-143. https://doi.org/10.1007/978-3-642-02897-7_12
Papachristodoulou A, Peet M. SOS for nonlinear delayed models in biology and networking. In Lecture Notes in Control and Information Sciences. Vol. 388. 2009. p. 133-143. (Lecture Notes in Control and Information Sciences). https://doi.org/10.1007/978-3-642-02897-7_12
Papachristodoulou, Antonis ; Peet, Matthew. / SOS for nonlinear delayed models in biology and networking. Lecture Notes in Control and Information Sciences. Vol. 388 2009. pp. 133-143 (Lecture Notes in Control and Information Sciences).
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