\(H_\infty\) control, stabilization, and input-output stability of nonlinear systems with homogeneous properties

DOI10.1016/S0005-1098(01)00027-9zbMath0980.93021OpenAlexW1996764834MaRDI QIDQ5935476

Yiguang Hong

Publication date: 20 February 2002

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0005-1098(01)00027-9

zbMATH Keywords

stability analysis\(H_\infty\) controlfeedback stabilizationLyapunov stabilitydilationinput-output stabilityaffine control systemshomogeneous feedbackhomogeneous systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) (H^infty)-control (93B36) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Input-output approaches in control theory (93D25)

Related Items (19)

On stability of switched homogeneous nonlinear systems ⋮ Finite-time disturbance attenuation of nonlinear systems ⋮ Robustness of sampled-data homogeneous systems ⋮ On homogeneity and its application in sliding mode control ⋮ Generalized homogenization of linear controllers: Theory and experiment ⋮ Consistent discretization of homogeneous finite/fixed-time controllers for LTI systems ⋮ Robust \(H_{\infty}\) control for uncertain nonlinear systems ⋮ Generalized homogeneous control with integral action ⋮ Verification of ISS, iISS and IOSS properties applying weighted homogeneity ⋮ Fixed-time estimation of parameters for non-persistent excitation ⋮ Design of Lyapunov functions for a class of homogeneous systems: Generalized forms approach ⋮ Adaptive h-infinity control of a class of uncertain nonlinear systems ⋮ Global and Local Weighted Homogeneity for Time-Delay Systems ⋮ Stability analysis of nonlinear switched systems with sampled-data controllers ⋮ Discretization of homogeneous systems using Euler method with a state-dependent step ⋮ Robust stabilization of MIMO systems in finite/fixed time ⋮ Time-suboptimal feedback design via linear matrix inequalities ⋮ L₂stability,H_∞control of switched homogeneous nonlinear systems and their semi-tensor product of matrices representation ⋮ Robust finite-time output feedback stabilisation of the double integrator

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