Global stabilization of nonlinear cascaded systems with a Lyapunov function in superposition form

DOI10.1016/j.automatica.2009.04.021zbMath1175.93204OpenAlexW2047903730MaRDI QIDQ1036669

Zhi-yong Chen

Publication date: 13 November 2009

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2009.04.021

zbMATH Keywords

Lyapunov functionadaptive controlnonlinear systemsrobust control

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Adaptive control/observation systems (93C40) Hierarchical systems (93A13) Control/observation systems governed by ordinary differential equations (93C15)

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Cites Work

• A toolkit for nonlinear feedback design
• Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties
• Nonlinear control of engineering systems. A Lyapunov-based approach.
• New results and examples in nonlinear feedback stabilization
• A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems
• A Lyapunov's direct method for the global robust stabilization of nonlinear cascaded systems
• An ISS small gain theorem for general networks
• Constructive Lyapunov stabilization of nonlinear cascade systems
• A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
• Changing supply functions in input/state stable systems
• Asymptotic stabilization via output feedback for lower triangular systems with output dependent incremental rate
• Dissipativity, Stabilization, and Regulation of Cascade-Connected Systems