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

DOI10.1016/j.jfranklin.2017.11.011zbMath1380.93223OpenAlexW2770039402MaRDI QIDQ681197

Seok Young Lee, Won Il Lee, Poo Gyeon Park

Publication date: 30 January 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.11.011

zbMATH Keywords

stabilityBessel-Legendre (B-L) inequalityMoon's inequalityorthogonal-polynomials-based integral inequalitypolynomials-based integral inequalitysystems with additive time-varying delays

Mathematics Subject Classification ID

Related Items (9)

Novel stability criterion for linear system with two additive time-varying delays using general integral inequalities ⋮ New results on robust exponential stability of Takagi-Sugeno fuzzy for neutral differential systems with mixed time-varying delays ⋮ A generalized multiple-integral inequality based on free matrices: application to stability analysis of time-varying delay systems ⋮ Super finite-time variable parameter ZNN models for time-variant linear matrix inequality ⋮ Finite-interval quadratic polynomial inequalities and their application to time-delay systems ⋮ Stability analysis of micro-grid frequency control system with two additive time-varying delay ⋮ Stability analysis of time-varying delay neural networks based on new integral inequalities ⋮ Stability analysis of systems with time-varying delays using overlapped switching Lyapunov Krasovskii functional ⋮ Hierarchical stability conditions of systems with time-varying delay

Cites Work

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• Single/Multiple Integral Inequalities With Applications to Stability Analysis of Time-Delay Systems
• Stability criteria for continuous‐time systems with additive time‐varying delays
• Stability of time-delay systems

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