Shifted Legendre polynomials-based single and double integral inequalities with arbitrary approximation order: Application to stability of linear systems with time-varying delays

Shifted Legendre polynomials-based single and double integral inequalities with arbitrary approximation order: Application to stability of linear systems with time-varying delays

This paper proposes novel single and double integral inequalities with arbitrary approximation order by employing shifted Legendre polynomials and Cholesky decomposition, and these inequalities could significantly reduce the conservativeness in stability analysis of linear systems with interval time...

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Bibliographic Details
Main Authors: Deren Gong, Xiaoliang Wang, Peng Dong, Shufan Wu, Xiaodan Zhu
Format: Article
Language:English
Published: AIMS Press 2020-05-01
Series:AIMS Mathematics
Subjects:
shifted legendre polynomials
cholesky decomposition
arbitrary approximation order
time-delayed systems
stability analysis
Online Access:https://www.aimspress.com/article/10.3934/math.2020279/fulltext.html

Internet

https://www.aimspress.com/article/10.3934/math.2020279/fulltext.html

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