Further Result on the Stability Analysis of Time-Delay System Based on a Novel Inequality

This paper investigates the issue for stability of linear system with time-varying delay. First, by combining the Free-matrix technique and the B-L inequality, a new inequality named Free-matrix Legendre inequality is proposed. Then, based on this inequality, two sets of stability criteria are developed which are less conservative than the existing ones due to the fact that more freedom are introduced. Finally, a numerical example is given to illustrate the advantage of our method.