Non-smooth robust stabilization of a class of uncertain nonlinear systems in the plane

In this paper, we use merely continuous feedback laws for the robust stabilization of nonlinear systems. We introduce an approach to robust stabilization, where a robust stabilizer of a parameterized family of systems, is viewed as a feedback law that simultaneously robustly stabilizes two of its sub-families. More precisely, we construct a robust stabilizer for a given family of systems, by first designing the robust stabilizers of two of its sub-families. Then, using a new interpolation method we piece together the two obtained robust stabilizers, and we get the desired robust stabilizer