Universal stabilization of a class of nonlinear systems by output feedback

Considers the problem of global stabilization by output feedback, for a family of nonlinear systems that are dominated by a triangular system satisfying a linear growth condition. The problem has remained unsolved due to the violation of the commonly assumed conditions in the literature of nonlinear control. Using a feedback domination design which is not based on the separation principle, we explicitly construct a linear output compensator making the closed-loop system globally exponentially stable.