A novel integral inequality and its application to stability analysis of linear system with multiple time delays

DOI10.1016/j.aml.2021.107648OpenAlexW3196849239MaRDI QIDQ2060911

Li Jin, Yong He, Lin Jiang

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107648

zbMATH Keywords

stability analysislinear matrix inequalitiesintegral inequalitymultiple time delaysmultiple integral terms

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Inequalities for sums, series and integrals (26D15)

Related Items (8)

A delay-variation-dependent stability criterion for discrete-time systems via a bivariate quadratic function negative-determination lemma ⋮ An improved reciprocally convex inequality and its application to time-varying delay systems ⋮ A general framework for the exact stability analysis of love dynamics with four independent time delays ⋮ Stability analysis for systems with multiple/single time delays via a cascade augmented L-K functional ⋮ General stability criteria for time‐delay systems using a new delay‐dependent reciprocally convex inequality ⋮ Stability of discrete-time delayed systems via convex function-based summation inequality ⋮ Estimating the delay margin for stability of linear delay systems by the weighted matrix measure ⋮ Stability criteria for time-varying delay systems via an improved reciprocally convex inequality lemma

Cites Work

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• Polynomial-Type Lyapunov–Krasovskii Functional and Jacobi–Bessel Inequality: Further Results on Stability Analysis of Time-Delay Systems
• Dynamic Systems with Time Delays: Stability and Control

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