New Integral Inequality and Its Application to Time-Delay Systems

DOI10.1007/978-3-319-01695-5_3zbMath1276.93070OpenAlexW134885807MaRDI QIDQ2863178

Alexandre Seuret, Frédéric Gouaisbaut

Publication date: 21 November 2013

Published in: Delay Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-01695-5_3

zbMATH Keywords

Jensen's inequalitysampled-data systemslinear matrix inequalities (LMIs)Fourier theoryWirtinger's inequalitiestractable stability conditions

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Sampled-data control/observation systems (93C57) Control/observation systems governed by ordinary differential equations (93C15)

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Stabilization of uncertain linear distributed delay systems with dissipativity constraints ⋮ Multiple integral inequalities and stability analysis of time delay systems ⋮ Dissipative delay range analysis of coupled differential-difference delay systems with distributed delays ⋮ On stability criteria for neural networks with time-varying delay using Wirtinger-based multiple integral inequality ⋮ Hierarchy of LMI conditions for the stability analysis of time-delay systems ⋮ Stability of time-delay systems via Wirtinger-based double integral inequality ⋮ Complete quadratic Lyapunov functionals for distributed delay systems ⋮ Stability analysis of systems with time-varying delays via the second-order Bessel-Legendre inequality ⋮ Recent developments on the stability of systems with aperiodic sampling: an overview

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