Skip to main content
Erschienen in: Neural Processing Letters 2/2021

04.02.2021

Quasi-Synchronization of Fractional-Order Complex-Valued Memristive Recurrent Neural Networks with Switching Jumps Mismatch

verfasst von: Shuai Zhang, Yongqing Yang, Li Li, Dinghui Wu

Erschienen in: Neural Processing Letters | Ausgabe 2/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, quasi-synchronization of fractional-order complex-valued memristive recurrent neural networks with switching jumps mismatch is investigated. Complex-valued systems are divided into two real-valued systems, which can avoid discussing the strict constraints in complex-value domain. A lemma is derived to deal with the mismatch. Under the framework of Fillipov’s solution, the sufficient conditions of quasi-synchronization are obtained by constructing suitable Lyapunov function. Besides, the error levels of quasi-synchronization are obtained. Some comparisons with existing results are given to verify the improvements. Two numerical simulations are given to demonstrate the effectiveness of the derived conditions.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

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!

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!

Literatur
1.
Zurück zum Zitat Chua L (1971) Memrisor-the missing circuit element. IEEE Trans Circuit Theory 18:507–519 Chua L (1971) Memrisor-the missing circuit element. IEEE Trans Circuit Theory 18:507–519
2.
3.
Zurück zum Zitat Strukov D, Snider G, Stewart DR, Williams RS (2008) The missing memristor found. Nature 453:80–83 Strukov D, Snider G, Stewart DR, Williams RS (2008) The missing memristor found. Nature 453:80–83
4.
Zurück zum Zitat Tour J, He T (2008) Electronics: the fourth element. Nature 453:42 Tour J, He T (2008) Electronics: the fourth element. Nature 453:42
5.
Zurück zum Zitat Xin Y, Li Y, Huang X, Cheng Z (2019) Quasi-synchronization of delayed chaotic memristive neural networks. IEEE Trans Cybern 49:712–718 Xin Y, Li Y, Huang X, Cheng Z (2019) Quasi-synchronization of delayed chaotic memristive neural networks. IEEE Trans Cybern 49:712–718
6.
Zurück zum Zitat Li R, Cao J (2016) Stability analysis of reaction-diffusion uncertain memristive neural networks with time-varying delays and leakage term. Appl Math Comput 278:54–69MathSciNetMATH Li R, Cao J (2016) Stability analysis of reaction-diffusion uncertain memristive neural networks with time-varying delays and leakage term. Appl Math Comput 278:54–69MathSciNetMATH
7.
Zurück zum Zitat Yang X, Ho D (2016) Synchronization of delayed memristive neural networks: robust analysis approach. IEEE Trans Cybern 46(12):3377–3387 Yang X, Ho D (2016) Synchronization of delayed memristive neural networks: robust analysis approach. IEEE Trans Cybern 46(12):3377–3387
8.
Zurück zum Zitat Zhang G, Zeng Z, Hu J (2018) New results on global exponential dissipativity analysis of memristive inertial neural networks with distributed time-varying delays. Neural Netw 97:183–191MATH Zhang G, Zeng Z, Hu J (2018) New results on global exponential dissipativity analysis of memristive inertial neural networks with distributed time-varying delays. Neural Netw 97:183–191MATH
9.
Zurück zum Zitat Bao H, Park J, Cao J (2015) Matrix measure strategies for exponential synchronization and anti-synchronization of memristor-based neural networks with time-varying delays. Appl Math Comput 270:543–556MathSciNetMATH Bao H, Park J, Cao J (2015) Matrix measure strategies for exponential synchronization and anti-synchronization of memristor-based neural networks with time-varying delays. Appl Math Comput 270:543–556MathSciNetMATH
10.
Zurück zum Zitat Yang X, Cao J, Liang J (2017) Exponential synchronization of memristive neural networks with delays: interval matrix method. IEEE Trans Neural Netw Learn Syst 28:1878–1888MathSciNet Yang X, Cao J, Liang J (2017) Exponential synchronization of memristive neural networks with delays: interval matrix method. IEEE Trans Neural Netw Learn Syst 28:1878–1888MathSciNet
11.
Zurück zum Zitat Zhang L, Yang Y, Wang F (2017) Projective synchronization of fractional-order memristive neural networks with switching jumps mismatch. Physica A 471:402–415MathSciNetMATH Zhang L, Yang Y, Wang F (2017) Projective synchronization of fractional-order memristive neural networks with switching jumps mismatch. Physica A 471:402–415MathSciNetMATH
12.
Zurück zum Zitat Yang X, Cao J, Qiu J (2015) pth moment exponential stochastic synchronization of coupled memristor-based neural networks with mixed delays via delayed impulsive control. Neural Netw 65:80–91MATH Yang X, Cao J, Qiu J (2015) pth moment exponential stochastic synchronization of coupled memristor-based neural networks with mixed delays via delayed impulsive control. Neural Netw 65:80–91MATH
13.
Zurück zum Zitat Zhang G, Zeng Z (2018) Exponential stability for a class of memristive neural networks with mixed time-varying delays. Appl Math Comput 321:544–554MathSciNetMATH Zhang G, Zeng Z (2018) Exponential stability for a class of memristive neural networks with mixed time-varying delays. Appl Math Comput 321:544–554MathSciNetMATH
14.
Zurück zum Zitat Yang X, Cao J, Yu W (2014) Exponential synchronization of memristive Cohen–Grossberg neural networks with mixed delays. Cognit Neurodyn 8:239–249 Yang X, Cao J, Yu W (2014) Exponential synchronization of memristive Cohen–Grossberg neural networks with mixed delays. Cognit Neurodyn 8:239–249
15.
Zurück zum Zitat Rakkiyappan R, Udhayakumar K, Velmurugan G, Cao J (2017) Ahmed Alsaedi, Stability and Hopf bifurcation analysis of fractional-order complex-valued neural networks with time delays. Adv Differ Equ 2017:225MATH Rakkiyappan R, Udhayakumar K, Velmurugan G, Cao J (2017) Ahmed Alsaedi, Stability and Hopf bifurcation analysis of fractional-order complex-valued neural networks with time delays. Adv Differ Equ 2017:225MATH
16.
Zurück zum Zitat Wang F, Yang Y (2018) Quasi-synchronization for fractional-order delayed dynamical networks with heterogeneous nodes. Appl Math Comput 339:1–14MathSciNetMATH Wang F, Yang Y (2018) Quasi-synchronization for fractional-order delayed dynamical networks with heterogeneous nodes. Appl Math Comput 339:1–14MathSciNetMATH
17.
Zurück zum Zitat Bao H, Park J, Cao J (2016) Synchronization of fractional-order delayed neural networks with hybrid coupling. Complexity 21:106–112MathSciNet Bao H, Park J, Cao J (2016) Synchronization of fractional-order delayed neural networks with hybrid coupling. Complexity 21:106–112MathSciNet
18.
Zurück zum Zitat Zhang L, Yang Y, Wang F (2018) Synchronization analysis of fractional-order neural networks with time-varying delays via discontinuous neuron activations. Neurocomputing 275:40–49 Zhang L, Yang Y, Wang F (2018) Synchronization analysis of fractional-order neural networks with time-varying delays via discontinuous neuron activations. Neurocomputing 275:40–49
19.
Zurück zum Zitat Shi Y, Cao J, Chen G (2017) Exponential stability of complex-valued memristor-based neural networks with time-varying delays. Appl Math Comput 313:222–234MathSciNetMATH Shi Y, Cao J, Chen G (2017) Exponential stability of complex-valued memristor-based neural networks with time-varying delays. Appl Math Comput 313:222–234MathSciNetMATH
20.
Zurück zum Zitat Liu D, Zhu S, Sun KL (2018) Anti-synchronization of complex-valued memristor-based delayed neural networks. Neural Netw 105:1–13MATH Liu D, Zhu S, Sun KL (2018) Anti-synchronization of complex-valued memristor-based delayed neural networks. Neural Netw 105:1–13MATH
21.
Zurück zum Zitat Liu D, Zhu S, Ye E (2017) Synchronization stability of memristor-based complex-valued neural networks with time delays. Neural Netw 96:115–127MATH Liu D, Zhu S, Ye E (2017) Synchronization stability of memristor-based complex-valued neural networks with time delays. Neural Netw 96:115–127MATH
24.
Zurück zum Zitat Chen D, Li S, Wu Q, Luo X (2020) New disturbance rejection constraint for redundant robot manipulators: an optimization perspective. IEEE Trans Ind Inform 16:2221–2232 Chen D, Li S, Wu Q, Luo X (2020) New disturbance rejection constraint for redundant robot manipulators: an optimization perspective. IEEE Trans Ind Inform 16:2221–2232
25.
Zurück zum Zitat Chen D, Li S, Li W, Wu Q (2020) A multi-level simultaneous minimization scheme applied to jerk bounded redundant robot manipulators. IEEE Trans Autom Sci Eng 17:463–474 Chen D, Li S, Li W, Wu Q (2020) A multi-level simultaneous minimization scheme applied to jerk bounded redundant robot manipulators. IEEE Trans Autom Sci Eng 17:463–474
26.
Zurück zum Zitat Wu Q, Shen X, Jin Y, Chen Z, Li S, Khan A, Chen D (2019) Intelligent beetle antennae search for UAV sensing and avoidance of obstacles. Sensors 19:1758 Wu Q, Shen X, Jin Y, Chen Z, Li S, Khan A, Chen D (2019) Intelligent beetle antennae search for UAV sensing and avoidance of obstacles. Sensors 19:1758
27.
Zurück zum Zitat Jiang X, Li S (2018) BAS: beetle antennae search algorithm for optimization problems. Int J Robot Control 8:1–5 Jiang X, Li S (2018) BAS: beetle antennae search algorithm for optimization problems. Int J Robot Control 8:1–5
28.
Zurück zum Zitat Yang S, Yu J, Hu C, Jiang H (2018) Quasi-projective synchronization of fractional-order complex-valued recurrent neural networks. Neural Netw 104:104–113MATH Yang S, Yu J, Hu C, Jiang H (2018) Quasi-projective synchronization of fractional-order complex-valued recurrent neural networks. Neural Netw 104:104–113MATH
29.
Zurück zum Zitat Zhang L, Yang Y, wang F (2017) Lag synchronization for fractional-order memristive neural networks via period intermittent control. Nonlinear Dyn 89:367–C381MATH Zhang L, Yang Y, wang F (2017) Lag synchronization for fractional-order memristive neural networks via period intermittent control. Nonlinear Dyn 89:367–C381MATH
30.
Zurück zum Zitat Zhang L, Yang Y, wang F, sui X (2018) Lag synchronization for fractional-order memristive neural networks with time delay via switching jumps mismatch. J Frankl Inst 355:1217–1240MathSciNetMATH Zhang L, Yang Y, wang F, sui X (2018) Lag synchronization for fractional-order memristive neural networks with time delay via switching jumps mismatch. J Frankl Inst 355:1217–1240MathSciNetMATH
31.
Zurück zum Zitat Wen S, Zeng Z, Huang T, Zhang Y (2014) Exponential adaptive lag synchronization of memristive neural networks via fuzzy method and applications in pseudorandom number generators. IEEE Trans Fuzzy Syst 22:1704–1713 Wen S, Zeng Z, Huang T, Zhang Y (2014) Exponential adaptive lag synchronization of memristive neural networks via fuzzy method and applications in pseudorandom number generators. IEEE Trans Fuzzy Syst 22:1704–1713
32.
Zurück zum Zitat Cao Y, Wang S, Guo Z, Huang T, Wen S (2019) Synchronization of memristive neural networks with leakage delay and parameters mismatch via event-triggered control. Neural Netw 119:178–189MATH Cao Y, Wang S, Guo Z, Huang T, Wen S (2019) Synchronization of memristive neural networks with leakage delay and parameters mismatch via event-triggered control. Neural Netw 119:178–189MATH
34.
Zurück zum Zitat Sader M, Abdurahman A, Jiang H (2018) General decay lag synchronization for competitive neural networks with constant delays. Neural Process Lett 50:445–457 Sader M, Abdurahman A, Jiang H (2018) General decay lag synchronization for competitive neural networks with constant delays. Neural Process Lett 50:445–457
35.
Zurück zum Zitat Xiong X, Tang R, Yang X (2019) Finite-time synchronization of memristive neural networks with proportional delay. Neural Process Lett 50:1139–1152 Xiong X, Tang R, Yang X (2019) Finite-time synchronization of memristive neural networks with proportional delay. Neural Process Lett 50:1139–1152
36.
Zurück zum Zitat Wen S, Zeng Z, Huang T, Zhang YD (2014) Exponential adaptive lag synchronization of memristive neural networks via fuzzy method and applications in pseudorandom number generators. IEEE Trans Fuzzy Syst 22:1704–1713 Wen S, Zeng Z, Huang T, Zhang YD (2014) Exponential adaptive lag synchronization of memristive neural networks via fuzzy method and applications in pseudorandom number generators. IEEE Trans Fuzzy Syst 22:1704–1713
37.
Zurück zum Zitat Zhang L, Yang Y, Wang F (2017) Lag synchronization for fractional-order memristive neural networks via period intermittent control. Nonlinear Dyn 89:367–81MATH Zhang L, Yang Y, Wang F (2017) Lag synchronization for fractional-order memristive neural networks via period intermittent control. Nonlinear Dyn 89:367–81MATH
38.
Zurück zum Zitat Liu M, Jiang H, Hu C (2019) New results for exponential synchronization of memristive Cohen–Grossberg neural networks with time-varying delays. Neural Process Lett 49:79–102 Liu M, Jiang H, Hu C (2019) New results for exponential synchronization of memristive Cohen–Grossberg neural networks with time-varying delays. Neural Process Lett 49:79–102
39.
Zurück zum Zitat Li M, Wang J (2018) Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations. Appl Math Comput 324:254–265MathSciNetMATH Li M, Wang J (2018) Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations. Appl Math Comput 324:254–265MathSciNetMATH
40.
Zurück zum Zitat Guo Y (2018) Globally robust stability analysis for stochastic Cohen–Grossberg neural networks with impulse control and time-varying delays. Ukr Math J 69:1220–1233MathSciNetMATH Guo Y (2018) Globally robust stability analysis for stochastic Cohen–Grossberg neural networks with impulse control and time-varying delays. Ukr Math J 69:1220–1233MathSciNetMATH
41.
Zurück zum Zitat Zhang Z, Li A, Yu S (2018) Finite-time synchronization for delayed complex-valued neural networks via integrating inequality method. Neurocomputing 318:248–260 Zhang Z, Li A, Yu S (2018) Finite-time synchronization for delayed complex-valued neural networks via integrating inequality method. Neurocomputing 318:248–260
42.
Zurück zum Zitat Zhang Z, Chen M, Li A (2020) Further study on finite-time synchronization for delayed inertial neural networks via inequality skills. Neurocomputing 373:15–23 Zhang Z, Chen M, Li A (2020) Further study on finite-time synchronization for delayed inertial neural networks via inequality skills. Neurocomputing 373:15–23
43.
Zurück zum Zitat Sun W, Peng L (2014) Observer-based robust adaptive control for uncertain stochastic Hamiltonian systems with state and input delays. Nonlinear Anal Model Control 19:626–645MathSciNetMATH Sun W, Peng L (2014) Observer-based robust adaptive control for uncertain stochastic Hamiltonian systems with state and input delays. Nonlinear Anal Model Control 19:626–645MathSciNetMATH
44.
Zurück zum Zitat Ding S, Wang Z (2017) Lag quasi-synchronization for memristive neural networks with switching jumps mismatch. Neural Comput Appl 28:4011–4022 Ding S, Wang Z (2017) Lag quasi-synchronization for memristive neural networks with switching jumps mismatch. Neural Comput Appl 28:4011–4022
45.
Zurück zum Zitat Wang F, Zheng Z (2019) Quasi-projective synchronization of fractional order chaotic systems under input saturation. Physica A 534:122132MathSciNet Wang F, Zheng Z (2019) Quasi-projective synchronization of fractional order chaotic systems under input saturation. Physica A 534:122132MathSciNet
46.
Zurück zum Zitat Huang X, Fan Y, Jia J, Wang Z, Li Y (2017) Quasi-synchronisation of fractional-order memristor-based neural networks with parameter mismatches. IET Control Theory Appl 11:2317–2327MathSciNet Huang X, Fan Y, Jia J, Wang Z, Li Y (2017) Quasi-synchronisation of fractional-order memristor-based neural networks with parameter mismatches. IET Control Theory Appl 11:2317–2327MathSciNet
47.
Zurück zum Zitat Fan Y, Huang X, Wang Z, Li Y (2018) Global dissipativity and quasi-synchronization of asynchronous updating fractional-order memristor-based neural networks via interval matrix method. J Franklin Inst 355:5998–6025MathSciNetMATH Fan Y, Huang X, Wang Z, Li Y (2018) Global dissipativity and quasi-synchronization of asynchronous updating fractional-order memristor-based neural networks via interval matrix method. J Franklin Inst 355:5998–6025MathSciNetMATH
48.
Zurück zum Zitat Ye D, Shao Y (2019) Quasi-synchronization of heterogeneous nonlinear multi-agent systems subject to DOS attacks with impulsive effects. Neurocomputing 366:131–139 Ye D, Shao Y (2019) Quasi-synchronization of heterogeneous nonlinear multi-agent systems subject to DOS attacks with impulsive effects. Neurocomputing 366:131–139
49.
Zurück zum Zitat Chen J, Zeng Z, Jiang P (2014) On the periodic dynamics of memristor-based neural networks with time-varying delays. Inf Sci 279:358–373MathSciNetMATH Chen J, Zeng Z, Jiang P (2014) On the periodic dynamics of memristor-based neural networks with time-varying delays. Inf Sci 279:358–373MathSciNetMATH
50.
Zurück zum Zitat Wang L, Shen Y, Yin Q, Zhang G (2014) Adaptive synchronization of memristor-based neural networks with time-varying delays. IEEE Trans Neural Netw Learn Syst 26:2033–2042MathSciNet Wang L, Shen Y, Yin Q, Zhang G (2014) Adaptive synchronization of memristor-based neural networks with time-varying delays. IEEE Trans Neural Netw Learn Syst 26:2033–2042MathSciNet
Metadaten
Titel
Quasi-Synchronization of Fractional-Order Complex-Valued Memristive Recurrent Neural Networks with Switching Jumps Mismatch
verfasst von
Shuai Zhang
Yongqing Yang
Li Li
Dinghui Wu
Publikationsdatum
04.02.2021
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 2/2021
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-020-10342-4

Weitere Artikel der Ausgabe 2/2021

Neural Processing Letters 2/2021 Zur Ausgabe

Neuer Inhalt