Delay-range-dependent stability for systems with time-varying delays

Aimed at the problem of the stability of systems with time-varying delay in a range,the global asymptotic stability analysis of delay-range-dependent systems with time-varying delays is investigated.A new criterion of the delay-range-dependent stability is derived by introducing an appropriate type of Lyapunov-Krasovskii functional with the idea of delay fractioning and is formulated in terms of a linear matrix inequality(LMI),which can be readily solved via LMI Toolbox.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 within a certain range.Finally,a numerical example is given to demonstrate the effectiveness and the less conservative of the proposed criterion.