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A discussion on the Hölder and robust finite-time partial stabilizability of Brockett’s integrator

Chaker Jammazi — 2012

ESAIM: Control, Optimisation and Calculus of Variations

We consider chained systems that model various systems of mechanical or biological origin. It is known according to Brockett that this class of systems, which are controllable, is not stabilizable by continuous stationary feedback (independent of time). Various approaches have been proposed to remedy this problem, especially instationary or discontinuous feedbacks. Here, we look at another stabilization strategy (by continuous stationary or discontinuous feedbacks)...

A discussion on the Hölder and robust finite-time partial stabilizability of Brockett’s integrator

Chaker Jammazi — 2012

ESAIM: Control, Optimisation and Calculus of Variations

We consider chained systems that model various systems of mechanical or biological origin. It is known according to Brockett that this class of systems, which are controllable, is not stabilizable by continuous stationary feedback (independent of time). Various approaches have been proposed to remedy this problem, especially instationary or discontinuous feedbacks. Here, we look at another stabilization strategy (by continuous stationary or discontinuous feedbacks)...

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