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Stability analysis of linear systems with time-varying delays: Delay uncertainty and quenching

Abstract:

This paper addresses the problem of stability analysis of a class of linear systems with time-varying delays. We develop conditions for robust stability that can be tested using Semidefinite Programming using the Sum of Squares decomposition of multivariate polynomials and the LyapunovKrasovskii theorem. We show how appropriate LyapunovKrasovskii functionals can be constructed algorithmically to prove stability of linear systems with a variation in delay, by using bounds on the size and rate ...

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Publication status:
Published

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Publisher copy:
10.1109/CDC.2007.4434764

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science
Niculescu, S-I More by this author
Pages:
4629-4634
Publication date:
2007
DOI:
ISSN:
0191-2216
URN:
uuid:13716aac-d931-46d6-a69e-ef560f1ab1ae
Source identifiers:
64636
Local pid:
pubs:64636
ISBN:
978-1-4244-1497-0

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