NEW RESULTS OF H_∞ FILTERING FOR NEURAL NETWORK WITH TIME-VARYING DELAY

Yajun Li; Jingzhao Li; Mingang Hua

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NEW RESULTS OF H_∞ FILTERING FOR NEURAL NETWORK WITH TIME-VARYING DELAY

机译：时变时滞神经网络H_∞滤波的新结果

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摘要

A more effective Lyapunov functional has been constructed to investigate the H_∞ filtering problems for a class of neural networks with time-varying delay. By combining with some inequality technic or free-weighting matrix approach, the delay-dependent conditions have been proposed such that the filtering error system is globally asymptotically stable with guaranteed H_∞ performance. The time delay is divided into several subintervals; more information about time delay is utilized and less conservative results have been obtained. All results are expressed by the form of linear matrix inequalities, and the filter gain matrix can be determined easily by optimal algorithm. Examples and simulations have been provided to illustrate the less conservatism and effectiveness of the designed filter.

机译：构造了更有效的Lyapunov函数，以研究一类时变时滞神经网络的H_∞滤波问题。通过与一些不等式技术或自由加权矩阵方法相结合，提出了与延迟有关的条件，使得滤波误差系统在保证H_∞性能的情况下全局渐近稳定。时间延迟分为几个子间隔。利用了更多有关时间延迟的信息，而获得的保守性却较低。所有结果均以线性矩阵不等式的形式表示，并且可以通过优化算法轻松确定滤波器增益矩阵。提供了示例和仿真来说明所设计的过滤器的保守性和有效性较低。

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来源
《International Journal of Innovative Computing Information and Control》 |2014年第6期|2309-2323|共15页
作者
Yajun Li; Jingzhao Li; Mingang Hua;
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作者单位

College of Electronics and Information Engineering Shunde Polytechnic Desheng East Road, Shunde Dist., Foshan 528300, P. R. China;

College of Electronics and Information Engineering Shunde Polytechnic Desheng East Road, Shunde Dist., Foshan 528300, P. R. China;

College of Computer and Information Hohai University Sanjing Street, Xinbei Dist., Changzhou 213022, P. R. China;

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正文语种 eng
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关键词
H_∞ filter design; Globally asymptotically stable; Linear matrix inequality (LMI); Neural networks; Time-varying delay;

机译：H_∞滤波器设计;全球渐近稳定;线性矩阵不等式（LMI）;神经网络;时变延迟;

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1. Delay-dependent H_∞ and generalized H_2 filtering for stochastic neural networks with time-varying delay and noise disturbance [J] . Mingang Hua, Huasheng Tan, Junfeng Chen Neural computing & applications . 2014,第3a4期

机译：具有时变时滞和噪声干扰的随机神经网络的时滞相关H_∞和广义H_2滤波
2. Robust H_∞ filter design for uncertain stochastic Markovian jump Hopfield neural networks with mode-dependent time-varying delays [J] . Guangming Zhuang, Junwei Lu, Minsong Zhang Neurocomputing . 2014,第mara15期

机译：具有模式依赖时变时滞的不确定随机Markovian跳跃Hopfield神经网络的鲁棒H_∞滤波器设计
3. Delay-dependent H_∞ filtering for complex dynamical networks with time-varying delays in nonlinear function and network couplings [J] . V.M. Revathi, P. Balasubramaniam, K. Ratnavelu Signal processing . 2016,第jana期

机译：具有非线性函数和网络耦合时变时滞的复杂动力网络的时滞相关H_∞滤波
4. Distributed H_∞ Filtering over Multiple-Channel Sensor Networks with Markovian Channel Switching and Time-varying Delays [C] . Zhaojian Li, Xunyuan Yin, Xiang Yin, IEEE Annual Conference on Decision and Control . 2015

机译：分布式H_∞通过Markovian通道切换和时变延迟过滤通过多通道传感器网络过滤
5. Exponential Stability of Intrinsically Stable Dynamical Networks and Switched Networks with Time-Varying Time Delays [D] . Reber, David Patrick. 2019

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6. Delay decomposition approach to ... formula ... filtering analysis of genetic oscillator networks with time-varying delays [O] . V. M. Revathi, P. Balasubramaniam 2016

机译：具有时变时滞的遗传振荡器网络的延迟分解法...
7. Stochastic H∞ filtering for neural networks with leakage delay and mixed time-varying delays [O] . Syed Ali, M, Saravanakumar, R., Ahn, Choon Ki, 2017

机译：具有泄漏时滞和时变混合时滞的神经网络的随机H∞滤波

NEW RESULTS OF H_∞ FILTERING FOR NEURAL NETWORK WITH TIME-VARYING DELAY

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