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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
Division:
MPLS
Department:
Engineering Science
Role:
Author
Pages:
4019-4024
Host title:
PROCEEDINGS OF THE 46TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14
Publication date:
2007-01-01
DOI:
ISSN:
0191-2216
Source identifiers:
64635
ISBN:
9781424414970
Pubs id:
pubs:64635
UUID:
uuid:1b4fad9e-61db-4d97-87dd-2b0460c41931
Local pid:
pubs:64635
Deposit date:
2012-12-19

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