Robust dichotomy for nonlinear uncertain systems

In this paper, properties of dichotomy for nonlinear systems with norm-bounded uncertainty are considered. By using some results of H_∞ theory and method of linear matrix inequality (LMI) some criterions of testing robust dichotomy of uncertain nonlinear systems are given. An approach of designing state feedback controller guaranteeing dichotomy of closed loop systems with norm-bounded uncertainty is proposed. The given results are applied to Chua's circuit. A numerical algorithm of designing a controller guaranteeing dichotomy of the closed-loop system is presented which enlarges the range of some parameters.