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Positivity of kernel functions for systems with communication delay

Abstract:
The purpose of this paper is to provide further results on a method of constructing Lyapunov functionals for infinite-dimensional systems using semidefinite programming. Specifically, we give a necessary and sufficient condition for positivity of a positive integral operator described by a polynomial kernel. We then show how to combine this result with multiplier operators in order to obtain positive composite Lyapunov functionals. These types of functionals are used to prove stability of linear time-delay systems. © 2007 IEEE.
Publication status:
Published

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Publisher copy:
10.1109/CDC.2007.4434664

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Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science
Pages:
4019-4024
Publication date:
2007
DOI:
ISSN:
0191-2216
URN:
uuid:1b4fad9e-61db-4d97-87dd-2b0460c41931
Source identifiers:
64635
Local pid:
pubs:64635
ISBN:
978-1-4244-1497-0

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