State estimation for discrete-time memristive recurrent neural networks with stochastic time-delays. Issue 5 (3rd July 2016)

• Record Type: Journal Article
• Authors: Liu, Hongjian; Wang, Zidong; Shen, Bo; Alsaadi, Fuad E.
• Is Part Of: International journal of general systems. Volume 45:Issue 5(2016)
• Page Start: 633
• Page End: 647
• Publication Date: 2016-07-03
• Subjects: Discrete time -- H∞ state estimation -- memristive neural networks -- stochastic time-delays; System theory -- Periodicals; 003
• DOI: 10.1080/03081079.2015.1106731
• Languages: English
• ISSNs: 0308-1079

Abstract

Abstract : This paper deals with the robust H ∞ state estimation problem for a class of memristive recurrent neural networks with stochastic time-delays. The stochastic time-delays under consideration are governed by a Bernoulli-distributed stochastic sequence. The purpose of the addressed problem is to design the robust state estimator such that the dynamics of the estimation error is exponentially stable in the mean square, and the prescribed H ∞ performance constraint is met. By utilizing the difference inclusion theory and choosing a proper Lyapunov–Krasovskii functional, the existence condition of the desired estimator is derived. Based on it, the explicit expression of the estimator gain is given in terms of the solution to a linear matrix inequality. Finally, a numerical example is employed to demonstrate the effectiveness and applicability of the proposed estimation approach.