Stabilizing a class of nonlinear systems by applying large gain theorem

This paper is addressed the stability of feedback interconnected nonlinear systems based on large gain theorem. First a linear matrix inequality-based framework is proved to find minimum gain of linear systems. Then by applying large gain theorem and the idea of zero assignment, a method is proposed to stabilize Lur'e form systems. This method can be applied to MIMO systems. Two examples are given to show stabilizing procedure.