In this paper, we study the problem of control of discrete-time linear time varying systems over uncertain channels. The uncertainty in the channels is modeled as a stochastic random variable. We use exponential mean square stability of the closed-loop system as a stability criterion. We show that fundamental limitations arise for the mean square exponential stabilization for the closed-loop sy...

We consider the stability of the discrete-time networked control systems (NCSs) with polytopic uncertainty, where a smart controller is updated with the buffered sensor information at stochastic intervals and the amount of the buffered data received by the controller under the buffer capacity constraint is also random. We establish sufficient conditions for guaranteeing the exponential stabilit...

In this paper, the relation of exponential stability in mean square between approximate solutions and explicit solutions has been investigated. Not only the stability and convergence of approximate solutions have been proved, but also the equidistant condition of the stability between them for the neutral stochastic differential delay equations with Markovian swithching and Poisson jumps has be...

k-fold cross validation is a popular practical method to get a good estimate of the error rate of a learning algorithm. Here, the set of examples is first partitioned into k equal-sized folds. Each fold acts as a test set for evaluating the hypothesis learned on the other k − 1 folds. The average error across the k hypotheses is used as an estimate of the error rate. Although widely used, espec...

In this paper, the stability problem is studied for a class of Markovian jump neutral nonlinear systems with time-varying delay. By Lyapunov-Krasovskii function approach, a novel mean-square exponential stability criterion is derived for the situations that the systems transition rates are completely accessible, partially accessible and non-accessible, respectively. Moreover, the developed stab...

This paper considers 2D feedback systems modeled a by repetitive process where both the forward path and the feedback paths are nonlinear. Using a Lyapunov function approach, sufficient conditions for exponential stability are obtained and in the linear case the connection between exponential stability and the existing stability along the pass theory is established. The results are then extende...

This paper studies the mean square exponential synchronization problem of a class of stochastic neutral type chaotic neural networks with mixed delay. On the Basis of Lyapunov stability theory, some sufficient conditions ensuring the mean square exponential synchronization of two identical chaotic neural networks are obtained by using stochastic analysis and inequality technique. These conditio...