Stabilization of center systems via immersion and invariance

DOI10.1007/S11071-008-9443-2zbMath1176.70019OpenAlexW2049692166MaRDI QIDQ1041865

Wei Zhang, Hua Wang, Zheng-zhi Han, Qi-Yue Xie

Publication date: 4 December 2009

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-008-9443-2

zbMATH Keywords

stabilizationimmersion and invariancecenter systemscontrol bifurcation

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Control of mechanical systems (70Q05)

Related Items (5)

Forwarding-based immersion and invariance control for \(n\)-dimensional strict-feedback nonlinear systems ⋮ Sliding mode control via system immersion and application in chaos control ⋮ Chaotification via system immersion ⋮ Chaotification of nonlinear discrete systems via immersion and invariance ⋮ Almost sure asymptotic stabilization of differential equations with time-varying delay by Lévy noise

Cites Work

• A constructive solution for stabilization via immersion and invariance: the cart and pendulum system
• Stabilization of a class of nonlinear systems by a smooth feedback control
• Applications of centre manifold theory
• Stabilization of nonlinear systems in compound critical cases.
• Immersion and invariance adaptive control of linear multivariable systems
• Stabilization of nonlinear systems with uncontrollable linearization
• Bifurcation Control via State Feedback for Systems with a Single Uncontrollable Mode
• Centre-manifold-based sliding mode output tracking for non-minimum nonlinear systems
• Immersion and invariance: a new tool for stabilization and adaptive control of nonlinear systems
• Control Bifurcations
• The Controlled Center Systems
• Nonlinear Stabilization via System Immersion and Manifold Invariance: Survey and New Results

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