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Delays-dependent region partitioning approach for stability criterion of linear systems with multiple time-varying delays

Title
Delays-dependent region partitioning approach for stability criterion of linear systems with multiple time-varying delays
Authors
PARK, POOGYEONKo, Kab SeokLee, Won IlSung, Dan Keun
POSTECH Authors
PARK, POOGYEON
Date Issued
Jan-2018
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Abstract
This paper considers a delay-dependent stability criterion for linear systems with multiple time-varying delays. To exploit all possible information for the relationships among the marginally delayed states (x(t - tau(M)(i)), x(t- tau(M)(i+1))), the exactly delayed states (x(t - tau(i)(t)), x(t - tau(i+1)(t))), and the current state x(t) for each pair (i, i + 1) of time-varying delays, a delays-dependent region partitioning approach in double integral terms is proposed. By applying the Wirtinger-based integral inequality and the reciprocally convex approach to terms resulted from the region partitioning, a stability criterion is derived in terms of linear matrix inequalities. Numerical examples show that the resulting criterion outperforms the existing one in literature. (C) 2017 Elsevier Ltd. All rights reserved.
URI
http://oasis.postech.ac.kr/handle/2014.oak/38939
DOI
10.1016/j.automatica.2017.09.003
ISSN
0005-1098
Article Type
Article
Citation
AUTOMATICA, vol. 87, no. 1, page. 389 - 394, 2018-01
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 PARK, POOGYEON
Dept of Electrical Enginrg
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