Top

Neural Processing Letters

Published in:

07-11-2022

Further Results on Fixed-Time Cluster Synchronization of Coupled Neural Networks

Authors: Rujia Huang, Xiaoyang Liu, Jinde Cao

Published in: Neural Processing Letters | Issue 4/2023

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

This paper considers the fixed-time cluster synchronization of nonlinear coupled neural networks. Some novel cost-saving fixed-time controllers are developed to ensure the cluster synchronization for the coupled neural networks with/without disturbances. Different from the traditional fixed-time synchronization controllers containing many nonlinear terms, the newly designed control protocol only holds one power-exponent term. Two numerical examples are provided to illustrate the feasibility of the derived results.

previous article Real-Time Accurate Text Detection with Adaptive Double Pyramid Network

next article Deep Convolutional Neural Networks with Transfer Learning for Visual Sentiment Analysis

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Bao G, Zeng Z (2012) Analysis and design of associative memories based on recurrent neural network with discontinuous activation functions. Neurocomputing 77(1):101–107CrossRef

Belykh VN, Belykh IV, Mosekilde E (2001) Cluster synchronization modes in an ensemble of coupled chaotic oscillators. Phys Rev E 63(3):036216CrossRef

Bhat SP, Bernstein DS (2000) Finite-time stability of continuous autonomous systems. SIAM J Control Optim 38(3):751–766MathSciNetCrossRefMATH

Bregni S (2002) Synchronization of digital telecommunications networks. John Wiley & Sons

Cao J, Li L (2009) Cluster synchronization in an array of hybrid coupled neural networks with delay. Neural Netw 22(4):335–342CrossRefMATH

Cao J, Li R (2017) Fixed-time synchronization of delayed memristor-based recurrent neural networks. Sci China Inf Sci 60(3):1–15MathSciNetCrossRef

De Oliveira EG, Braun T (2007) Partial synchronization on a network with different classes of oscillators. Phys Rev E 76(6):067201CrossRef

Ding S, Wang Z, Zhang H (2018) Event-triggered stabilization of neural networks with time-varying switching gains and input saturation. IEEE Trans Neural Netw Learn Syst 29(10):5045–5056MathSciNetCrossRef

Fan Y, Huang X, Wang Z, Li Y (2018) Nonlinear dynamics and chaos in a simplified memristor-based fractional-order neural network with discontinuous memductance function. Nonlinear Dyn 93(2):611–627CrossRefMATH

10.

Feng L, Hu C, Yu J, Jiang H, Wen S (2021) Fixed-time synchronization of coupled memristive complex-valued neural networks. Chaos, Solit Fract 148:110993MathSciNetCrossRefMATH

11.

Gao H, Lam J, Chen G (2006) New criteria for synchronization stability of general complex dynamical networks with coupling delays. Phys Lett A 360(2):263–273CrossRefMATH

12.

Hardy GH, Littlewood JE, Pólya G, Pólya G (1952) Inequalities. Cambridge University Press

13.

He Q, Ma Y (2022) Quantized adaptive pinning control for fixed/preassigned-time cluster synchronization of multi-weighted complex networks with stochastic disturbances. Nonlinear Anal Hybrid Syst 44:101157MathSciNetCrossRefMATH

14.

Hu C, Yu J, Chen Z, Jiang H, Huang T (2017) Fixed-time stability of dynamical systems and fixed-time synchronization of coupled discontinuous neural networks. Neural Netw 89:74–83CrossRefMATH

15.

Ji G, Hu C, Yu J, Jiang H (2018) Finite-time and fixed-time synchronization of discontinuous complex networks: a unified control framework design. J Franklin Inst 355(11):4665–4685MathSciNetCrossRefMATH

16.

Kwok T, Smith KA (1999) A unified framework for chaotic neural-network approaches to combinatorial optimization. IEEE Trans Neural Netw 10(4):978–981CrossRef

17.

Li CP, Sun WG, Kurths J (2006) Synchronization of complex dynamical networks with time delays. Physica A 361(1):24–34CrossRef

18.

Li L, Ho DWC, Cao J, Lu J (2016) Pinning cluster synchronization in an array of coupled neural networks under event-based mechanism. Neural Netw 76:1–12CrossRefMATH

19.

Liu X, Chen T (2011) Cluster synchronization in directed networks via intermittent pinning control. IEEE Trans Neural Netw 22(7):1009–1020CrossRef

20.

Liu X, Chen T (2018) Finite-time and fixed-time cluster synchronization with or without pinning control. IEEE Trans Cybern 48(1):240–252CrossRef

21.

Liu L, Zhou W, Li X, Sun Y (2019) Dynamic event-triggered approach for cluster synchronization of complex dynamical networks with switching via pinning control. Neurocomputing 340:32–41CrossRef

22.

Liu P, Zeng Z, Wang J (2020) Asymptotic and finite-time cluster synchronization of coupled fractional-order neural networks with time delay. IEEE Trans Neural Netw Learn Syst 31(11):4956–4967MathSciNetCrossRef

23.

Li N, Wu X, Feng J, Lv J (2022) Fixed-time synchronization of complex dynamical networks: a novel and economical mechanism. IEEE Trans Cybern 52(6):4430–4440CrossRef

24.

Lu J, Cao J (2008) Adaptive synchronization of uncertain dynamical networks with delayed coupling. Nonlinear Dyn 53(1):107–115MathSciNetCrossRefMATH

25.

Lu J, Ho DWC, Cao J (2008) Synchronization in an array of nonlinearly coupled chaotic neural networks with delay coupling. Int J Bifurc Chaos 18(10):3101–3111MathSciNetCrossRefMATH

26.

Moulay E, Léchappé V, V, Bernuau E, Plestan F, (2022) Robust fixed-time stability: application to sliding-mode control. IEEE Trans Autom Control 67(2):1061–1066

27.

Moulay E, Léchappé V, Bernuau E, Defoort M, Plestan F (2022) Fixed-time sliding mode control with mismatched disturbances. Automatica 136:110009MathSciNetCrossRefMATH

28.

Pecora LM, Sorrentino F, Hagerstrom AM, Murphy TE, Roy R (2014) Cluster synchronization and isolated desynchronization in complex networks with symmetries. Nat Commun 5(1):1–8CrossRef

29.

Polyakov A (2012) Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Trans Autom Control 57(8):2106–2110MathSciNetCrossRefMATH

30.

Shi Z, Xie Y, Deng C, Zhao K, He Y, Hao Y (2020) Disturbance observer based finite-time coordinated attitude tracking control for spacecraft on SO (3). J Syst Eng Electron 31(6):1274–1285CrossRef

31.

Sheng Y, Zhang H, Zeng Z (2020) Stability and robust stability of stochastic reaction-diffusion neural networks with infinite discrete and distributed delays. IEEE Trans Syst Man Cybern: Syst 50(5):1721–1732CrossRef

32.

Sporns O, Chialvo DR, Kaiser M, Hilgetag CC (2004) Organization, development and function of complex brain networks. Trends Cogn Sci 8(9):418–425CrossRef

33.

Tan G, Wang Z (2022) Stability analysis of systems with time-varying delay via a delay-product-type integral inequality. Math Methods Appl Sci 45(11):6535–6545MathSciNetCrossRef

34.

Wang J, Zhang H, Wang Z, Shan Q (2017) Local synchronization criteria of Markovian nonlinearly coupled neural networks with uncertain and partially unknown transition rates. IEEE Trans Syst Man Cybern: Syst 47(8):1953–1964CrossRef

35.

Xuan D, Tang Z, Feng J, Park JH (2021) Cluster synchronization of nonlinearly coupled Lur’e networks: delayed impulsive adaptive control protocols. Chaos Solit Fract 152:111337MathSciNetCrossRefMATH

36.

Yang X, Lu J (2016) Finite-time synchronization of coupled networks with Markovian topology and impulsive effects. IEEE Trans Autom Control 61(8):2256–2261MathSciNetCrossRefMATH

37.

Yang X, Wu Z, Cao J (2013) Finite-time synchronization of complex networks with nonidentical discontinuous nodes. Nonlinear Dyn 73(4):2313–2327MathSciNetCrossRefMATH

38.

Yang X, Lam J, Ho DWC, Feng Z (2017) Fixed-time synchronization of complex networks with impulsive effects via nonchattering control. IEEE Trans Autom Control 62(11):5511–5521MathSciNetCrossRefMATH

39.

Yao X, Fan S, Zhao B, Cao S (2020) Controller design based on echo state network with delay output for nonlinear system. Complexity, 8643029

40.

Zhang Q, Lu J, Lv J, Chi KT (2008) Adaptive feedback synchronization of a general complex dynamical network with delayed nodes. IEEE Trans Circ Syst II Express Briefs 55(2):183–187

41.

Zhang X, Zhou W, Karimi HR, Sun Y (2021) Finite-and fixed-time cluster synchronization of nonlinearly coupled delayed neural networks via pinning control. IEEE Trans Neural Netw Learn Syst 32(11):5222–5231MathSciNetCrossRef

42.

Zhang W, Li C, Li H, Yang X (2020) Cluster stochastic synchronization of complex dynamical networks via fixed-time control scheme. Neural Netw 124:12–19CrossRefMATH

43.

Zheng S, Wang S, Dong G, Bi Q (2012) Adaptive synchronization of two nonlinearly coupled complex dynamical networks with delayed coupling. Commun Nonlinear Sci Numer Simul 17(1):284–291MathSciNetCrossRefMATH

Title: Further Results on Fixed-Time Cluster Synchronization of Coupled Neural Networks
Authors: Rujia Huang
Xiaoyang Liu
Jinde Cao
Publication date: 07-11-2022
Publisher: Springer US
Published in: Neural Processing Letters / Issue 4/2023
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI: https://doi.org/10.1007/s11063-022-11081-4

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 4/2023

A Natural Threshold Model for Ordinal Regression

Multi-decoding Network with Attention Learning for Edge Detection

Active Learning by Extreme Learning Machine with Considering Exploration and Exploitation Simultaneously

Synchronization of Uncertain Neural Networks with Additive Time-Varying Delays and General Activation Function

Variance-Constrained Resilient State Estimation for Time-Varying Neural Networks with Random Saturation Observation Under Uncertain Occurrence Probability

Adaptive Multi-layer Contrastive Graph Neural Networks