On the robustness of stability for uncertain time-delay systems

Based on the Lyapunov stability theorem associated with induced norm of matrix and matrix measure techniques, this paper addresses the robust stability analysis for linear time-delay systems with uncertainties. Several new criteria, expressed by concise inequalities, are presented to guarantee the robust stability and stability with a specified decaying rate for the above systems. Both nonlinear norm-bounded and highly structured parametric uncertainties are discussed. Finally, the superiority of the proposed results is demonstrated in the illustrative examples by comparing with those available in the literature.