In this article, we propose two types of explicit tamed Euler–Maruyama (EM) schemes for neutral stochastic differential delay equations with superlinearly growing drift and diffusion coefficients. The first type is convergent in the Lq sense under local Lipschitz plus Khasminskii-type conditions. second order half mean-square Khasminskii-type, global monotonicity polynomial growth Moreover, it ...

In this paper, we investigate stochastic evolution equations with unbounded delay in fractional power spaces perturbed by a tempered Brownian motion $$B_Q^{\sigma ,\lambda }(t)$$ $$-1/2<\sigma <0$$ and $$\lambda >0$$ . We first introduce technical lemma which is crucial our stability analysis. Then, prove the existence uniqueness of mild solutions using semigroup methods. The upper nonlinear no...

The stability and performance of a networked control system (NCS) strongly depends on the transmission delay. However, the randomness of the transmission delay is an intrinsic property in the network communication, e.g. Ethernet. Aiming at NCS with random transmission delay, a novel control approach is proposed. The transmission delays from sensorto-controller (SC) and controller-to-actuator (C...

Abstract. In the present study, we consider a nutrient-autotroph-herbivore ecosystem model where the herbivore species is assumed to have a commercial value. We use a Holling type-II harvest function to model density dependent herbivore harvesting. Stability criteria of the resulting model is investigated both from analytical and numerical viewpoints. The investigation revealed the existence of...

This paper is concerned with the stability analysis of networked control systems (NCSs) with random delays in the control loop. The time delay between sensor and controller is modeled as a Markov process, the time delay between controller and actuator is assumed constant. A sampled-data system approach is considered. We assume that the controller is able to monitor the transmission delay which ...

This paper is concerned with the stability analysis of networked control systems with communication constraints, variable delays and variable sampling intervals. The scheduling of sensor communication is defined by a stochastic protocol. The activation probability of each sensor node is a given constant, whereas it is assumed that collisions occur with a certain probability. The resulting close...