A New Fixed-Time Stability Criterion and Its Application to Synchronization Control of Memristor-Based Fuzzy Inertial Neural Networks with Proportional Delay

被引：11

作者：

Zhang, Yadan ^{[1
]}

Jiang, Minghui ^{[2
]}

Fang, Xue ^{[1
]}

机构：

[1] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang, Peoples R China

[2] China Three Gorges Univ, Inst Nonlinear Complex Syst, Yichang 443000, Hubei, Peoples R China

来源：

NEURAL PROCESSING LETTERS | 2020年 / 52卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Fixed-time stability; Inertial neural networks; Memristor-based; Fuzzy; GLOBAL EXPONENTIAL STABILITY; NICHOLSONS BLOWFLIES MODEL; LIMIT-CYCLES; DYNAMICS; SYSTEMS; CONVERGENCE; PERIODICITY;

D O I：

10.1007/s11063-020-10305-9

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, a new criterion related to fixed-time stability is derived by strict mathematical techniques such as definite integral and inequality techniques. Compared with the existing theorems, the estimate of upper bound for settling time is smaller, which is not only proved theoretically but also shown by numerical simulations. And the new criterion gets improved after introducing a new lemma. Then on the basis of the new criterion and the improved theorem, the fixed-time synchronization (FTS) of a memristor-based fuzzy inertial neural network (MFINN) with proportional delay is investigated via adopting a delay-dependent feedback controller, and several sufficient conditions are given for the FTS of the MFINN. At last, numerical simulations are raised to substaintiate the correctness of our theoretical results.

引用

页码：1291 / 1315

页数：25

共 54 条

[1] Finite-time and fixed-time synchronization of a class of inertial neural networks with multi-proportional delays and its application to secure communication [J].

Alimi, Adel M. ;

Aouiti, Chaouki ;

Assali, El Abed .

NEUROCOMPUTING, 2019, 332 :29-43

[2] MODELS OF MEMBRANE RESONANCE IN PIGEON SEMICIRCULAR CANAL TYPE-II HAIR-CELLS [J].

ANGELAKI, DE ;

CORREIA, MJ .

BIOLOGICAL CYBERNETICS, 1991, 65 (01) :1-10

[3] STABILITY AND DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS WITH ADDED INERTIA [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICA D, 1986, 23 (1-3) :464-469

[4] DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICA D, 1987, 28 (03) :305-316

[5] Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays [J].

Cao, Jinde ;

Wan, Ying .

NEURAL NETWORKS, 2014, 53 :165-172

[6] New results on global exponential stability for a periodic Nicholson's blowflies model involving time-varying delays [J].

Cao, Qian ;

Wang, Guoqiu ;

Qian, Chaofan .

ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)

[7] A new fixed-time stability theorem and its application to the fixed-time synchronization of neural networks [J].

Chen, Chuan ;

Li, Lixiang ;

Peng, Haipeng ;

Yang, Yixian ;

Mi, Ling ;

Zhao, Hui .

NEURAL NETWORKS, 2020, 123 :412-419

[8] A new fixed-time stability theorem and its application to the synchronization control of memristive neural networks [J].

Chen, Chuan ;

Li, Lixiang ;

Peng, Haipeng ;

Yang, Yixian ;

Mi, Ling ;

Wang, Lianhai .

NEUROCOMPUTING, 2019, 349 :290-300

[9] Bifurcation of limit cycles at infinity in piecewise polynomial systems [J].

Chen, Ting ;

Huang, Lihong ;

Yu, Pei ;

Huang, Wentao .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 :82-106

[10] MEMRISTIVE DEVICES AND SYSTEMS [J].

CHUA, LO ;

KANG, SM .

PROCEEDINGS OF THE IEEE, 1976, 64 (02) :209-223

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