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A generalized multiple-integral inequality based on free matrices: Application to stability analysis of time-varying delay systems SCIE SCOPUS

Title
A generalized multiple-integral inequality based on free matrices: Application to stability analysis of time-varying delay systems
Authors
Lee, Jun HuiKim, Jung HoonPark, PooGyeon
Date Issued
2022-10
Publisher
Elsevier Inc.
Abstract
© 2022 Elsevier Inc.This study proposed a novel generalized multiple-integral inequality based on free matrices in a quadratic form of an augmented vector stacked with a state and its derivative, with generalization realized in terms of both the integration and bounding orders. Further, additional cross information on the two entries of the augmented vector was considered using structured free matrices. Consequently, the proposed generalized multiple-integral inequality guaranteed tight bounds with various existing multiple-integral inequalities included as special cases. Moreover, it was observed that higher the orders of the generalized multiple-integral inequalities and Lyapunov–Krasovskii functions, less conservative the stability criterion obtained. Furthermore, three recognized numerical simulations were presented to confirm the improved effectiveness of the stability criterion derived through the proposed generalized multiple-integral inequality than in previous studies.
URI
https://oasis.postech.ac.kr/handle/2014.oak/114089
DOI
10.1016/j.amc.2022.127288
ISSN
0096-3003
Article Type
Article
Citation
Applied Mathematics and Computation, vol. 430, 2022-10
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박부견PARK, POOGYEON
Dept of Electrical Enginrg
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