  In recent years, an approach to extremum seeking control made it possible to
design control vector fields that lead to asymptotic stability of the minimum
point provided that the minimum value of the function is known a priori. In
this work, we aim to relax that assumption. We propose an extremum-seeking
control law that converges to the minimum point with vanishing control
oscillations, without access to the minimum value of the cost function. We
provide a numerical example to support our results.
