FINITE-TIME H∞ CONTROL FOR A CLASS OF MARKOVIAN JUMPING NEURAL NETWORKS WITH DISTRIBUTED TIME VARYING DELAYS-LMI APPROACH  

作　　者：p.baskar s.padmanabhan m.syed ali 

机构地区：[1]New Horizon College of Engineering, Marathhalli, Bangalore 560103, India [2]RNS Institute of Technology, Channasandra, Bangalore 560098, India [3]Department of Mathematics, Thiruvalluvar University, Vellore, Tamilnadu 632115, India

出　　处：《Acta Mathematica Scientia》2018年第2期561-579,共19页数学物理学报（B辑英文版）

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.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.

关 键 词：Finite-time H∞ control  Markovian jumping neural networks Lyapunov stability 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP183[自动化与计算机技术—控制科学与工程]