This paper associates with stability analysis of linear impulsive stochastic delay systems (ISDSs). Although many conclusions about the ISDSs have been obtained based on Lyapunov’s method, relatively few research theories delay-dependent less conservativeness established. Therefore, we introduce an appropriate Lyapunov-Krasovskii functional (LKF) to work out this problem, and a novel exponentia...

This paper investigates the problem of exponential stability for a class of uncertain discrete-time stochastic neural network with time-varying delays. By constructing a suitable LyapunovKrasovskii functional, combining the stochastic stability theory, the free-weighting matrix method, a delay-dependent exponential stability criteria is obtained in term of LMIs. Compared with some previous resu...

Moreover, I am grateful to Brigitte Rohrbach for her careful editing of the manuscript which helped improve the standard of my English. Finally, a special thank to my wife Franziska for her patience and invaluable support. vii Summary The stability analysis of time-delay systems forms the centre of this work. Three tools are typically used to investigate the stability of such systems: Razumikhi...

We characterize the stability conditions with an arbitrary statedependent time-varying round-trip delay in the context of single-flow and singleresource for Kelly’s optimization based rate control scheme using invariance techniques. It is shown that the stability conditions with an arbitrary fixed delay are sufficient for the stability of the system with a state-dependent time-varying delay.

In this paper, the problem of delay-range-dependent stabilization criterion for uncertain dynamic systems with time-varying delays is considered. The time-varying delays considered is assumed to be belong to a given interval in which lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov's functional and utilizing free weight matrices, the criterion for st...

We consider a two-degree-of-freedom model for turning processes which involves a system of differential equations with state-dependent delay. Depending on process parameters (e.g., spindle speed, depth of cut) the cutting tool can exhibit unwanted vibrations, resulting in a nonsmooth surface of the workpiece. In this paper we propose a feedback law to stabilize the turning process for a large r...