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FINITE-TIME H_∞ CONTROL FOR A CLASS OF MARKOVIAN JUMPING NEURAL NETWORKS WITH DISTRIBUTED TIME VARYING DELAYS-LMI APPROACH
摘    要:In this article, we investigates finite-time H_∞ control problem of Markovian jumping neural networks of neutral type with distributed time varying delays. The mathematical model of the Markovian jumping neural networks with distributed delays is established in which a set of neural networks are used as individual subsystems. Finite time stability analysis for such neural networks is addressed based on the linear matrix inequality approach.Numerical examples are given to illustrate the usefulness of our proposed method. The results obtained are compared with the results in the literature to show the conservativeness.

收稿时间:25 August 2016

Finite-time H control for a class of Markovian jumping neural networks with distributed time varying delays-LMI approach
Authors:P BASKAR  S PADMANABHAN  M Syed ALI
Institution:New Horizon College of Engineering, Marathhalli, Bangalore 560103, India;RNS Institute of Technology, Channasandra, Bangalore 560098, India;Department of Mathematics, Thiruvalluvar University, Vellore, Tamilnadu 632115, India
Abstract:In this article, we investigates finite-time H control problem of Markovian jumping neural networks of neutral type with distributed time varying delays. The mathematical model of the Markovian jumping neural networks with distributed delays is established in which a set of neural networks are used as individual subsystems. Finite time stability analysis for such neural networks is addressed based on the linear matrix inequality approach. Numerical examples are given to illustrate the usefulness of our proposed method. The results obtained are compared with the results in the literature to show the conservativeness.
Keywords:Markovian jumping neural networks  Lyapunov stability  93C10  93D05  93D00  93D20
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