Abstract:By using linear matrix inequalities and through establishing proper Lyapunov function, studies on uncertain parameter and time-delay Lurie control systems, with structured parameter perturbations and norm parameter perturbations are carried out, and thus obtains some timelag and unsufficient conditions for robust absolute stability of lurie control systems. The research shows when parameter is uncertain and has no norm bound restriction, these above conditions can be presented in terms of the positive definite matrices of diagonal matrix and linear matrix, which is very directly perceived and easy to operate.