Linear Systems Subject to Input Saturation and Time Delay: Finite‐Gain $L^{\lowercase{p}}$‐Stabilization

DOI10.1137/050626582zbMath1120.93357OpenAlexW2075236068MaRDI QIDQ3440253

Karim Yakoubi, Yacine Chitour

Publication date: 22 May 2007

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050626582

zbMATH Keywords

time-delay systemsLyapunov functionsinput saturationfinite-gain stability

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control/observation systems governed by functional-differential equations (93C23) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25) Linear systems in control theory (93C05) Control/observation systems governed by ordinary differential equations (93C15)

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Simultaneous external and internal stabilization of linear systems with input saturation and non-input-additive sustained disturbances ⋮ Global tracking for underactuated ships with bounded feedback controllers ⋮ $L_p$-Stabilization of Integrator Chains Subject to Input Saturation Using Lyapunov-Based Homogeneous Design ⋮ An improved treatment of saturation nonlinearity with its application to control of systems subject to nested saturation ⋮ Simple saturated designs for ANCBC systems and extension to feedforward nonlinear systems ⋮ Control of open‐loop neutrally stable systems subject to actuator saturation and external disturbances ⋮ Linear systems subject to input saturation and time delay: Global asymptotic and \(L^p\)-stabilization

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