A New Criterion of Delay-Range-Dependent Stability for Systems with Time-Varying Delay

This paper is concerned with the stability analysis for systems with time-varying delay in a range. A new criterion of the delay-range-dependent stability is derived by introducing an appropriate type of Lyapunov functional with the idea of delay fractioning and is formulated in terms of a linear matrix inequality (LMI), which can be readily solved via standard software. This new criterion based on a delay fractioning approach proves to be much less conservative and the conservatism could be notably reduced by thinning the delay fractioning. A Numerical example is given to demonstrate the effectiveness and the benefits of the proposed method.