Improved delay-fractional-dependent stability criteria for systems with nonlinear perturbations

This paper studies the stability of linear systems with interval time-varying delay and nonlinear perturbations. By developing a new delay-dependent decomposition approach, a new delay-fractional-dependent Lyapunov-Krasovskii (LK) function is constructed, and then stability criteria are derived by employing the convex optimization technique. Since that a tuning parameter is employed to variable delay fractional techniques, these criteria can be applied and effected to the case in which the upper bound of the time-derivative of the delay is larger than one. At last, a numerical example is given to show the effectiveness and merits of the present result.