Refined Wirtinger-type integral inequality

DOI10.1186/S13660-018-1700-4zbMath1497.26039OpenAlexW2800458456WikidataQ55025678 ScholiaQ55025678MaRDI QIDQ824558

Lian-Sheng Zhang, Shu-xia Wang

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1700-4

zbMATH Keywords

stability analysissystems with time-delaysWirtinger-type double integral inequality

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Control/observation systems governed by functional-differential equations (93C23) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20) Inequalities for sums, series and integrals (26D15)

Related Items (3)

New types of general single/multiple integral inequalities ⋮ Internet of health things encryption via master-slave synchronization for stochastic quaternion-valued neural networks ⋮ General single/multiple integral inequalities and their applications to stability of time-delay systems

Cites Work

• Analysis on robust image performance and stability for linear systems with interval time-varying state delays via some new augmented Lyapunov-Krasovskii functional
• Stability of time-delay systems via Wirtinger-based double integral inequality
• Lyapunov and Wirtinger inequalities.
• Vector Wirtinger-type inequality and the stability analysis of delayed neural network
• Wirtinger-based integral inequality: application to time-delay systems
• Stability of Discrete-Time Systems With Time-Varying Delays via a Novel Summation Inequality
• Delay-dependent robust stabilization of uncertain state-delayed systems
• Delay-dependent stability and stabilization of neutral time-delay systems
• A delay-dependent stability criterion for systems with uncertain time-invariant delays

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