Stability of non-linear delay systems: Delay-independent small gain theorem and frequency domain interpretation of the Lyapunov-Krasovskii method

DOI10.1080/00207170110107247zbMath1015.93054OpenAlexW2012797496MaRDI QIDQ3151628

Pierre-Alexandre Bliman

Publication date: 16 October 2002

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170110107247

zbMATH Keywords

stabilitylinear matrix inequalitydelay-independent stabilityLyapunov-Krasovskii methodsmall gain theoremnonlinear delay systems

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Nonlinear systems in control theory (93C10) Control/observation systems governed by functional-differential equations (93C23) Asymptotic stability in control theory (93D20) Stability theory of functional-differential equations (34K20)

Related Items (3)

Strong delay-independent stability analysis of neutral delay systems with commensurate delays ⋮ A small-gain condition for iISS of interconnected retarded systems based on Lyapunov-Krasovskii functionals ⋮ LMI characterization of the strong delay-independent stability of linear delay systems via quadratic Lyapunov--Krasovskii functionals

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