Keywords: Time scales Nicholson's blowflies model Patch structure Piecewise mean-square almost periodic solution Impulsive stochastic a b s t r a c t In this paper, a class of impulsive stochastic Nicholson's blowflies model with patch structure and nonlinear harvesting terms is introduced and studied on time scales. By using contraction mapping principal and Gronwall–Bellman inequality techniq...

The Liu process is a fuzzy whose membership function symmetric on an expected value. object of this paper was differential equation driven by process. Since the existing Euler solving methods (explicit scheme, semi-implicit and implicit scheme) have same convergence, to compare them, we presented four stabilities, i.e., asymptotical stability, mean square exponential A stability. By choosing sp...

In this paper, we study the stability of solutions stochastic McKean--Vlasov equations via feedback control based on discrete-time state observation. By using a specific Lyapunov function, $H_{\infty}$ stability, asymptotic and exponential in mean square for solution controlled systems are obtained. Since distribution is difficult to observe, corresponding particle system which can be observed ...

Recently we initiated in 11] the study of exponential stability of neutral stochastic functional diierential equations and in this paper we shall further our study in this area. We should emphasize that the main technique employed in this paper is the well-known Razumikhin argument and is completely diierent from those used in our previous paper 11]. The results obtained in 11] can only be appl...

In this paper, based on the properties of almost periodic function and exponential dichotomy of linear system on time scales as well as Krasnoselskii’s fixed point theorem, some sufficient conditions are established for the existence of square-mean almost periodic solutions of neutral stochastic functional differential equations on time scales. Finally, an example is presented to illustrate the...

This paper considers the H∞ filtering problem of discrete-time switched delay systems. Attention is focused on the design of an exponentially mean-square stable filter taking the asynchronous switching and missing measurements into account. New results on exponential mean-square stability and a weighted l2-gain analysis for filtering error system are given, where the system is allowed to be uns...

In this paper, we study the mean square convergence of the kernel least mean square (KLMS). The fundamental energy conservation relation has been established in feature space. Starting from the energy conservation relation, we carry out the mean square convergence analysis and obtain several important theoretical results, including an upper bound on step size that guarantees the mean square con...