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This paper considers controller design and observer design for Itô-type stochastic bilinear delay systems. First, we consider the stability of closed-loop bilinear stochastic delayed systems by introducing a nonlinear controller. A sufficient mean square asymptotically stability condition is established, which is given in terms of linear matrix inequality (LMI). Then, the problem of observer design...
This paper investigates the problem of mean-square asymptotic stability of uncertain neural networks with time-varying delay and stochastic noise. Based on generalized Finsler lemma and the linear matrix inequality (LMI) optimization technique, an improved delay-dependent stability criterion is developed. It is shown that the new stability criterion is less conservative and less computationally complex...
This paper discusses stability of neural networks (NNs) with time-varying delay. Delay-fractioning Lyapunov-Krasovskii functional (LKF) method and convex analysis are applied to establish a new stability condition. Two possible cases for the delay are taken into account when the delay interval is equivalently divided into two subintervals. The maximal allowable delay that ensures global asymptotical...
This paper addresses the problem of mean-square exponential stability of stochastic neutral systems with nonlinear stochastic perturbations. By introducing an auxiliary vector, it is shown that the deterministic Lyapunov-Krasovskii functionals can be extended to stochastic time-delay systems. Then new delay-dependent criteria are established in this paper in terms of linear matrix inequalities (LMIs)...
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