Triangular systems: A global extension of the Coron-Praly theorem on the existence of feedback-integrator stabilisers

DOI10.1016/S0947-3580(97)70060-8zbMath0882.93071MaRDI QIDQ1365646

John Tsinias

Publication date: 2 March 1998

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

zbMATH Keywords

stabilizationdynamic feedbacktriangular form

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10)

Related Items (12)

Robust control for a class of nonlinear systems with unknown measurement drifts ⋮ Global positional synthesis and stabilization in finite time of MIMO generalized triangular systems by means of the controllability function method ⋮ Integrator backstepping for uncertain nonlinear systems with non-smooth dynamics ⋮ Unified tracking control under full‐state constraints imposed irregularly ⋮ Robust control for a class of high-order uncertain nonlinear systems via measurement feedback ⋮ A nonlinear robust controller design of lower-triangular systems based on dissipation theory ⋮ Global properties of the triangular systems in the singular case ⋮ An explicit formula of bounded feedback stabilizers for feedforward systems ⋮ A scaled feedback stabilization of power integrator triangular systems ⋮ Global robust controllability of the triangular integro-differential Volterra systems ⋮ Smooth homogeneous asymptotically stabilizing feedback controls ⋮ Explicit formulas of feedback stabilizers for a class of triangular systems with uncontrollable linearization.

Cites Work

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• Adding an integrator for the stabilization problem
• Homogeneous Lyapunov function for homogeneous continuous vector field
• Equivalence of nonlinear systems to triangular form: the singular case
• An extension of Artstein's theorem on stabilization by using ordinary feedback integrators
• Stabilization with relaxed controls
• Lie Brackets and Local Controllability: A Sufficient Condition for Scalar-Input Systems
• Adaptive control of nonlinear systems with a triangular structure
• Smoothly Global Stabilizability by Dynamic Feedback and Generalizations of Artstein’s Theorem
• A global stabilization theorem for planar nonlinear systems

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