Global finite-time stabilization via output feedback for upper-triangular systems with unknown output gain

This paper addresses the problem of global finite-time stabilization via output feedback for a class of upper-triangular systems whose output gain is unknown. We first design a state compensator and use the compensator states to construct a controller to globally stabilize the nominal linear system without the perturbing nonlinearities. Then we apply the homogeneous domination approach to design a homogeneous compensator and controller with an appropriate choice of scaling gain to render the upper-triangular systems globally finite-time stable.

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