Stability analysis for interval time-varying delay systems based on time-varying bound integral method

This paper addresses the new stability analysis method for systems with interval time-varying delay. By taking single-integral and double-integral terms with time-varying bound into consideration, a new Lyapunov-Krasovskii functional is defined. Then reciprocally convex approach and some transformations are used to estimate the derivative of the constructed functional less conservatively, and as a result, some new stability criteria are obtained in terms of the quadratic convex combination, which are less conservative and have less decision variables. Two well-known examples are also given to illustrate the advantage of the main results.