Passivity Analysis of Markov Jumping Delayed Reaction-Diffusion Neural Networks under Different Boundary Conditions

被引：0

作者：

Li, Ziwei ^{[1
]}

Wang, Xuelian ^{[1
]}

Kong, Qingkai ^{[1
]}

Wang, Jing ^{[1
]}

机构：

[1] Anhui Univ Technol, Sch Elect & Informat Engn, Maanshan 243002, Peoples R China

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2020年 / 2020卷

关键词：

GENETIC REGULATORY NETWORKS; NONLINEAR-SYSTEMS; STATE ESTIMATION; SYNCHRONIZATION; STABILITY;

D O I：

10.1155/2020/9369813

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work analyzes the passivity for a set of Markov jumping reaction-diffusion neural networks limited by time-varying delays under Dirichlet and Neumann boundary conditions, respectively, in which Markov jumping is used to describe the variations among system parameters. To overcome some difficulties originated from partial differential terms, the Lyapunov-Krasovskii functional that introduces a new integral term is proposed and some inequality techniques are also adopted to obtain the delay-dependent stability conditions in terms of linear matrix inequalities, which ensures that the designed neural networks satisfy the specified performance of passivity. Finally, the advantages and effectiveness of the obtained results are verified via displaying two illustrated examples.

引用

页数：12

共 41 条

[1] Passivity analysis of delayed reaction-diffusion memristor-based neural networks [J].

Cao, Yanyi ;

Cao, Yuting ;

Wen, Shiping ;

Huang, Tingwen ;

Zeng, Zhigang .

NEURAL NETWORKS, 2019, 109 :159-167

[2] Non-fragile extended dissipativity-based state feedback control for 2-D Markov jump delayed systems [J].

Dai, Mingcheng ;

Huang, Zhengguo ;

Xia, Jianwei ;

Meng, Bo ;

Wang, Jian ;

Shen, Hao .

APPLIED MATHEMATICS AND COMPUTATION, 2019, 362

[3] Disturbance Observer Design for Nonlinear Systems Represented by Input-Output Models [J].

Ding, Shihong ;

Chen, Wen-Hua ;

Mei, Keqi ;

Murray-Smith, David J. .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2020, 67 (02) :1222-1232

[4] Finite-Time Stability Analysis of Reaction-Diffusion Genetic Regulatory Networks with Time-Varying Delays [J].

Fan, Xiaofei ;

Zhang, Xian ;

Wu, Ligang ;

Shi, Michael .

IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS, 2017, 14 (04) :868-879

[5] Finite-time stabilization for a class of high-order stochastic nonlinear systems with an output constraint [J].

Fang, Liandi ;

Ma, Li ;

Ding, Shihong ;

Zhao, Dean .

APPLIED MATHEMATICS AND COMPUTATION, 2019, 358 :63-79

[6]

Han Y. Y., 2015, ENVIRON SCI TECHNOL, V45, P161

[7] Robust distributed state estimation for Markov coupled neural networks under imperfect measurements [J].

Hu, Xiaohui ;

Xia, Jianwei ;

Wang, Zhen ;

Song, Xiaona ;

Shen, Hao .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (04) :2420-2436

[8] Analysis and pinning control for passivity of coupled reaction-diffusion neural networks with nonlinear coupling [J].

Huang, Yan-Li ;

Xu, Bei-Bei ;

Ren, Shun-Yan .

NEUROCOMPUTING, 2018, 272 :334-342

[9] Adaptive fault-tolerant consensus for a class of leader-following systems using neural network learning strategy [J].

Jin, Xiaozheng ;

Zhao, Xianfeng ;

Yu, Jiguo ;

Wu, Xiaoming ;

Chi, Jing .

NEURAL NETWORKS, 2020, 121 :474-483

[10] State Estimation for Genetic Regulatory Networks With Mode-Dependent Leakage Delays, Time-Varying Delays, and Markovian Jumping Parameters [J].

Lee, Tae H. ;

Lakshmanan, S. ;

Park, Ju H. ;

Balasubramaniam, P. .

IEEE TRANSACTIONS ON NANOBIOSCIENCE, 2013, 12 (04) :363-375

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