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Orthogonal-polynomials-based integral inequality and its applications to systems with additive time-varying delays

Title
Orthogonal-polynomials-based integral inequality and its applications to systems with additive time-varying delays
Authors
PARK, POOGYEONLee, Seok YoungLee, Won Il
POSTECH Authors
PARK, POOGYEON
Date Issued
Jan-2018
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Abstract
Recently, a polynomials-based integral inequality was proposed by extending the Moon's inequality into a generic formulation. By imposing certain structures on the slack matrices of this integral inequality, this paper proposes an orthogonal-polynomials-based integral inequality which has lower computational burden than the polynomials-based integral inequality while maintaining the same conservatism. Further, this paper provides notes on relations among recent general integral inequalities constructed with arbitrary degree polynomials. In these notes, it is shown that the proposed integral inequality is superior to the Bessel-Legendre (B-L) inequality and the polynomials-based integral inequality in terms of the conservatism and computational burden, respectively. Moreover, the effectiveness of the proposed method is demonstrated by an illustrative example of stability analysis for systems with additive time-varying delays. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
Keywords
STABILITY-CRITERIA; LINEAR-SYSTEMS
URI
http://oasis.postech.ac.kr/handle/2014.oak/40902
DOI
10.1016/j.jfranklin.2017.11.011
ISSN
0016-0032
Article Type
Article
Citation
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, vol. 355, no. 1, page. 421 - 435, 2018-01
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 PARK, POOGYEON
Dept of Electrical Enginrg
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