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Cognitive Neurodynamics
Published in: Cognitive Neurodynamics 4/2014

01-08-2014 | Research Article

Delay-decomposing approach to robust stability for switched interval networks with state-dependent switching

Authors: Ning Li, Jinde Cao, Tasawar Hayat

Published in: Cognitive Neurodynamics | Issue 4/2014

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Abstract

This paper is concerned with a class of nonlinear uncertain switched networks with discrete time-varying delays . Based on the strictly complete property of the matrices system and the delay-decomposing approach, exploiting a new Lyapunov–Krasovskii functional decomposing the delays in integral terms, the switching rule depending on the state of the network is designed. Moreover, by piecewise delay method, discussing the Lyapunov functional in every different subintervals, some new delay-dependent robust stability criteria are derived in terms of linear matrix inequalities, which lead to much less conservative results than those in the existing references and improve previous results. Finally, an illustrative example is given to demonstrate the validity of the theoretical results.
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Metadata
Title
Delay-decomposing approach to robust stability for switched interval networks with state-dependent switching
Authors
Ning Li
Jinde Cao
Tasawar Hayat
Publication date
01-08-2014
Publisher
Springer Netherlands
Published in
Cognitive Neurodynamics / Issue 4/2014
Print ISSN: 1871-4080
Electronic ISSN: 1871-4099
DOI
https://doi.org/10.1007/s11571-014-9279-z

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