Exponential stabilization of systems with time-varying delay by periodically intermittent control

The paper investigates exponential stabilization problem of systems with time-varying delay via periodically intermittent memory state-feedback control. By constructing a new Lyapunov-Krasovskii functional and employing the free-matrix-based integral inequality, less conservative delay-derivation-dependent conditions are derived in terms of linear matrix inequalities than the existing ones. Particularly, the traditional assumption that the delay-derivation upper bound is restricted to be smaller than one is removed in this paper. A novel controller is designed to force systems with time-varying to exponential stabilize by using intermittent memory state feedback control idea. Finally, a simulation example is given to illustrate the effectiveness and the benefits of the obtained results.