Robust stability and performance analysis for the system with linear dependent perturbations

In this paper, the sufficient conditions of the robust stability and robust performance for both continuous-time and discrete-time systems with structured perturbations are obtained using the matrix measure based approach. Using the derived results along with the Lyapunov based approach, several results for determining the robust criterion for the control system with time-varying perturbations are also obtained. Numerical examples have been given to illustrate the effectiveness of the proposed results. It shows that the proposed approach is less conservative than those proposed in the previous literature.