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SOS for Nonlinear Delayed Models in Biology and Networking

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...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science
Role:
Author
Volume:
388
Pages:
133-143
Publication date:
2009-01-01
DOI:
ISSN:
0170-8643
URN:
uuid:79fa7f58-c675-4c40-af03-3f461fe73ad8
Source identifiers:
90337
Local pid:
pubs:90337
ISBN:
978-3-642-02896-0

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