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

DOI10.3934/math.2020279zbMath1484.34155OpenAlexW3021219880MaRDI QIDQ2129812

Shufan Wu, Xiaodan Zhu, Xiaoliang Wang, Deren Gong, Peng Dong

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020279

zbMATH Keywords

stability analysistime-delayed systemsshifted Legendre polynomialsCholesky decompositionarbitrary approximation order

Mathematics Subject Classification ID

Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Inequalities for sums, series and integrals (26D15) Numerical approximation and computational geometry (primarily algorithms) (65D99)

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