This paper is concerned with the problem of robust exponential stabilization for a class of uncertain hybrid systems with mixed time-varying delays in both the state and control. By using a Lyapunov-Krasovskii functional, a memoryless switching controller design is proposed to guarantee the global exponential stabilization. Based on matrix inequality technique, we establish some new delay-depen...

Facing the pressing needs of many applications in network and control systems, this paper introduces a class of nonlinear systemswith random time delays and derives conditions on moment exponential stability of the underlying systems. The systemmodel is versatile and can accommodate awide variety of situations. The stability analysis to date in the literature is mostly delay independent. To hig...

This paper studies the problem of exponential stabilization of linear systems with time-varying sampling. The sampling rate varies from sample to sample with the given probability. By applying the input delay approach, the sampled-data system is transformed into a continuous time-delay system with stochastic parameter. A new exponential stability criterion is derived for the sampled-data system...

In this paper, the problems of exponential stability analysis and stabilization are investigated for sampled-data systems with probabilistic sampling. By introducing a stochastic variable satisfying a Bernoulli distribution, the probabilistic sampling system is transformed into a continuous time-delay system with stochastic parameters. A Lyapunov functional approach is developed to establish th...

This paper deals with a delayed ratio-dependent functional response predator-prey model with a threshold harvesting policy. We study the equilibria of the system before and after the threshold. We show that the threshold harvesting can improve the undesirable behavior such as nonexistence of interior equilibria. The global analysis of the model as well as boundedness and permanence properties a...

To satisfy the performance specification and to have a good transient response of the system, the controlled system is often designed to possess a specific stability degree. If the controlled system has a stability degree  , we say that the system is exponentially stable. This paper gives sufficient condition for the exponential stability of linear discrete time delay systems. This new, delay-...

We study the stabilization problem by interior (weak/strong) damping of the wave equation with boundary or internal time–varying delay feedback in a bounded and smooth domain Ω ⊂ IR. By introducing suitable Lyapunov functionals exponential stability estimates are obtained if the delay effect is appropriately compensated by the internal damping. 2000 Mathematics Subject Classification: 35L05, 93D15

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...

This paper discusses robust stochastic stability and stabilization of time-delay discrete Markovian jump singular systems with parameter uncertainties. Based on the restricted system equivalent (RES) transformation, a delay-dependent linear matrix inequalities condition for time-delay discrete-time Markovian jump singular systems to be regular, causal and stochastically stable is established. W...