Observer Design for One-sided Lipschitz Nonlinear Switched Systems

In this paper, we study a class of one-sided Lipschitz conditions switched nonlinear time delay systems based on observer design. According to the theory of linear matrix inequalities, the one-sided Lipschitz condition switch the matrix inequality conditions, and we go a step further that a sufficient condition is obtain for the asymptotic stability with perturbations of nonlinear switched systems with time delay under dwell time which satisfy certain conditions, in the last, design observer method is proposed. Example of simulation is given to make clear the effectiveness of the proposed proposition.