Impulsive phenomena are ubiquitous in the real world. In many cases, the impulsive effects occur when switching exists. This leads to a special justify; TEXT-INDENT: 18pt; MARGIN: 0cm 0cm 0pt; unicode-bidi: embed; DIRECTION: ltr" The purpose of this thesis is the study of uncertain nonlinear impulsive switched systems with time delay. The system under consideration involves multiple time delay in the state, external disturbance, perturbation and nonlinear uncertainties. The parameter uncertainties are norm-bounded time-varying, perturbation is function of time, state variables and delayed state variables. The first step is investigating the global asymptotic stability of the system without input and disturbance. The second step is to examine performance for systems without inputs. The third step, is designing robust controller for stabilization of the closed loop system with impulse disturbance with Lyapunov function method, sufficient conditions are developed to ensure for global asymptotic stability and robust disturbance attenuation performance in terms of linear matrix inequalities. Using Lyapunov Krasovskii function and Razumikhin approach are determined conditions for global asymptotic stability. Some examples are given to illustrate the effectiveness of the proposed method. Keywords: Switching impulsive systems, Global asymptotic stability, Robust stability, Impulsive control
