The property of dichotomy for a class of nonlinear interconnected system with uncertainties

This paper considers the dichotomy of nonlinear interconnected systems with uncertainties. This class of nonlinear interconnected systems not only exist linear connections in states, but also achieve the input and output interconnections through a per-mutation matrix. Linear matrix inequality (LMI) conditions of dichotomy of nonlinear interconnected systems with uncertainties are derived. A method of controller design and the sufficient condition of dichotomy of the nonlinear interconnected systems are given. Numerical example are given to illustrate the effectiveness of the proposed methods.