Improved Jensen integral inequality approach to stability analysis of continuous-time systems with interval time-varying delay

摘要

This paper investigates the stability for continuous-time systems with interval time-varying delay. To deal with the nonlinear time-varying coefficients derived from the Jensen's integral inequality, a more exact estimation method is proposed. By combining a well known inequality with a delay partition technique, the upper bound of the derivative of the Lyapunov functional can be estimated more tightly and expressed as a convex combination with respect to the reciprocal of the delay rather than the delay. New less conservative stability criteria are derived in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness and the improvement of the proposed results.