ON THE ROBUSTNESS OF STABILITY FOR UNCERTAIN TIME-DELAY SYSTEMS

Based on the Lyapunov stability theorem associated with induced norm o f matrix and matrix measure techniques, this paper addresses the robus t stability analysis for linear time-delay systems with uncertainties. Several new criteria, expressed by concise inequalities, are presente d to guarantee the robust stability and stability with a specified dec aying rate for the above systems. Both nonlinear norm-bounded and high ly structured parametric uncertainties are discussed. Finally, the sup eriority of the proposed results is demonstrated in the illustrative e xamples by comparing with those available in the literature.