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| 混合时变时滞神经网络的状态估计器设计 | |
| 引用本文： | 张蕾,刘贺平,王健安.混合时变时滞神经网络的状态估计器设计[J].北京科技大学学报,2012,34(7):847-852. |
| 作者姓名： | 张蕾 刘贺平 王健安 |
| 作者单位： | 1. 上海海洋大学信息学院,上海,201306 2. 北京科技大学自动化学院,北京,100083 3. 太原科技大学电子信息工程学院,太原,030024 |
| 基金项目： | 上海海洋大学博士启动基金项目 |
| 摘 要： | 研究了混合时变时滞(离散时滞和分布时滞)神经网络的状态估计问题.离散时滞在一个区间上变化,区间下界不一定为零.通过构造一个新的Lyapunov泛函,结合Jensen积分不等式,可以得到一个时滞相关状态估计器设计方法,使得误差系统是全局渐近稳定的,所得结果由线性矩阵不等式形式给出.数值算例证明了本文方法的有效性和优越性. |
| 关 键 词： | 状态估计 时变网络 时滞 神经网络 线性矩阵不等式(LMI) Lyapunov函数 |
Design of state estimators for neural networks with mixed time-varying delays |
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| ZHANG Lei,LIU He-ping,WANG Jian-an.Design of state estimators for neural networks with mixed time-varying delays[J].Journal of University of Science and Technology Beijing,2012,34(7):847-852. | |
| Authors: | ZHANG Lei LIU He-ping WANG Jian-an |
| Institution: | 1) College of Information Technology,Shanghai Ocean University,Shanghai 201306,China 2) School of Automation and Electrical Engineering,University of Science and Technology Beijing,Beijing 100083,China 3) School of Electronics Information Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China |
| Abstract: | The state estimation problem was studied for neural networks with mixed discrete and distributed time-varying delays as well as general activation functions.The discrete time-varying delay varies in an interval,where the lower bound is not fixed to be zero.Defining a novel Lyapunov functional and using the Jensen integral inequality,a delay-interval-dependent criterion is provided to design a state estimator through available output measurements in terms of a linear matrix inequality(LMI),such that the error-state system is globally asymptotically stable.A numerical example was given to illustrate that this result is more effective and less conservative than some existing ones. |
| Keywords: | state estimation time-varying networks delays neural networks linear matrix inequalities Lyapunov functions |
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