Stabilization of non-linear differential-algebraic equation systems

DOI10.1080/00207170410001715013zbMath1062.93035OpenAlexW2136456776WikidataQ115310999 ScholiaQ115310999MaRDI QIDQ4651170

Daniel W. C. Ho, Xiao-Ping Liu

Publication date: 21 February 2005

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

Full work available at URL: https://doi.org/10.1080/00207170410001715013

zbMATH Keywords

feedback stabilizationregularization algorithmstabilization algorithmnonlinear differential-algebraic equation

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Implicit ordinary differential equations, differential-algebraic equations (34A09)

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Cites Work

• On stabilization methods of descriptor systems
• Feedback linearization of differential-algebraic systems and force and position control of manipulators
• Feedback stabilization of control systems described by a class of nonlinear differential-algebraic equations
• Asymptotic output tracking of nonlinear differential-algebraic control systems
• On observing nonlinear descriptor systems
• Tracking control designs for both holonomic and non-holonomic constrained mechanical systems: a unified viewpoint
• Feedback stabilization and tracking of constrained robots
• Local disturbance decoupling of nonlinear singular systems
• Learning control for a class of nonlinear differential-algebraic systems with application to constrained robots
• Feedback control of affine nonlinear singular control systems
• Impluse-free output regulation of singular nonlinear systems
• Stability theory for differential/algebraic systems with application to power systems