Skip to main content
Fachgebiete
Automobil + Motoren Bauwesen + Immobilien Business IT + Informatik Elektrotechnik + Elektronik Energie + Nachhaltigkeit Finance + Banking Management + Führung Marketing + Vertrieb Maschinenbau + Werkstoffe Versicherung + Risiko
DE
EN
Bücher
Zeitschriften
Themenseiten
Organisationspsychologie Projektmanagement Marketing Smart Manufacturing
Weitere Formate
Podcasts Webinare Technik Webinare Wirtschaft Kongresse Veranstaltungskalender Awards
Jetzt Einzelzugang starten
Zugang für Unternehmen
Referenzkunden
SLX-Digitalkonferenz: Zukunftswerkstatt 2024

Mehr Umsatz mit Top-Kontakten

Am 7. Mai erfahren Sie, wie Vertriebsteams Leadgenerierung, Leadnurturing und Leadstrategien effizient steuern können.
Erweiterte Suche
Anmelden
nach oben
Neural Processing Letters
Erschienen in: Neural Processing Letters 1/2017

15.03.2016

Finite-Time Stability of a Class of CNNs with Heterogeneous Proportional Delays and Oscillating Leakage Coefficients

verfasst von: Bingwen Liu

Erschienen in: Neural Processing Letters | Ausgabe 1/2017

Einloggen

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

search-config
loading …

Abstract

The paper is concerned with the finite-time stability for a class of non-autonomous cellular neural networks with heterogeneous proportional delays and oscillating leakage coefficients. By employing the differential inequality techniques, we establish a novel result to ensure the finite-time stability of the addressed system. Meanwhile, the generalized exponential synchronization is also established. Our approach handles particular cases which were not considered in some early relevant results. An example along with its numerical simulation is presented to demonstrate the validity of the proposed result.
Vorheriger Artikel Weighted Average Pinning Synchronization for a Class of Coupled Neural Networks with Time-Varying Delays
Nächster Artikel Pseudo Almost Automorphic Solutions of Recurrent Neural Networks with Time-Varying Coefficients and Mixed Delays

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren
Literatur
1.
Karafyllis I (2006) Finite-time global stabilization by means of time-varying distributed delay feedback. SIAM J Control Optim 45:320–342MathSciNetCrossRefMATH
2.
Moulay E, Dambrine M, Yeganefar N, Perruquetti W (2008) Finite-time stability and stabilization of time-delay systems. Syst Control Lett 57:561–566MathSciNetCrossRefMATH
3.
Yang R, Wang Y (2012) Finite-time stability and stabilization of a class of nonlinear time-delay systems. SIAM J Control Optim 50(5):3113–3131MathSciNetCrossRefMATH
4.
Yang R, Wang Y (2013) Finite-time stability analysis and H control for a class of nonlinear time-delay Hamiltonian systems. Automatica 49:390–401MathSciNetCrossRefMATH
5.
Efimov Denis, Polyakov Andrey, Fridman Emilia, Perruquetti Wilfrid, Richard Jean-Pierre (2014) Comments on finite-time stability of time-delay systems. Automatica 50:1944–1947MathSciNetCrossRefMATH
6.
Hien LV (2014) An explicit criterion for finite-time stability of linear nonautonomous systems with delays. Appl Math Lett 30:12–18MathSciNetCrossRefMATH
7.
Amato F, Ambrosino R, Ariola M, Cosentino C, De Tomasi G (2014) Finite-time stability and control. Springer-Verlag, LondonCrossRefMATH
8.
Garcia G, Tarbouriech S, Bernussou J (2009) Finite-time stabilization of linear time-varying continuous systems. IEEE Trans Autom Control 54:364–369MathSciNetCrossRef
9.
Amato F, Ariola M, Cosentino C (2010) Finite-time control of discrete-time linear systems: analysis and design conditions. Automatica 46:919–924MathSciNetCrossRefMATH
10.
He S, Liu F (2010) Observer-based finite-time control of time-delayed jump systems. Appl Math Comput 217:2327–2338MathSciNetMATH
11.
Xiang W, Xiao J, Iqbal MN (2012) Robust finite-time bounded observer design for a class of uncertain non-linear Markovian jump systems. IMA J Math Control Inf 29:551–572MathSciNetCrossRefMATH
12.
Ockendon JR, Tayler AB (1971) The dynamics of a current collection systemfor an electric locomotive. Proc R Soc A 322:447–468CrossRef
13.
14.
Derfel GA (1982) On the behaviour of the solutions of functional and functional-differential equations with several deviating arguments. Ukr Math J 34:286–291CrossRefMATH
15.
Song X, Zhao P, Xing Z, Peng J (2015) Global asymptotic stability of CNNs with impulses and multi-proportional delays. Math Methods Appl Sci. doi:10.​1002/​mma.​3515
16.
Derfel GA (1990) Kato problem for functional-differential equations and difference Schrödinger operators. Oper Theory 46:319–321MATH
17.
18.
Zhou L, Chen X, Yang Y (2014) Asymptotic stability of cellular neural networks with multi-proportional delays. Appl Math Comput 229(1):457–466MathSciNet
19.
Zheng C, Li N, Cao J (2015) Matrix measure based stability criteria for high-order networks with proportional delay. Neurcomputing 149:1149–1154CrossRef
20.
21.
Zhou L (2015) Delay-dependent exponential synchronization of recurrent neural networks with multiple proportional delays. Neur Process Lett 42(3):619–632CrossRef
22.
Van Hien Le, Son Doan Thai (2015) Finite-time stability of a class of non-autonomous neural networks with heterogeneous proportional delays. Appl Math Comput 251:14–23MathSciNetMATH
23.
Xu Y (2014) New results on almost periodic solutions for CNNs with time-varying leakage delays. Neural Comput Appl 25:1293–1302CrossRef
24.
Chen Z (2013) A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type. Neural Comput Appl 23:2429–2434CrossRef
25.
Zhang A (2015) New results on exponential convergence for cellular neural networks with continuously distributed leakage delays. Neural Process Lett 41:421–433CrossRef
26.
Berezansky L, Braverman E (2009) On exponential stability of a linear delay differential equation with an oscillating coefficient. Appl Math Lett 22:1833–1837MathSciNetCrossRefMATH
27.
Jiang A (2015) Exponential convergence for shunting inhibitory cellular neural networks with oscillating coefficients in leakage terms. Neurocomputing 165:159–162CrossRef
28.
29.
Liu X (2015) Exponential convergence of SICNNs with delays and oscillating coefficients in leakage terms. Neurocomputing 168:500–504CrossRef
30.
Zhao C, Wang Z (2015) Exponential convergence of a SICNN with leakage delays and continuously distributed delays of neutral type. Neural Process Lett 41:239–247CrossRef
31.
Long Z (2016) New results on anti-periodic solutions for SICNNs with oscillating coefficients in leakage terms. Neurocomputing 171(1):503–509CrossRef
32.
Zhang Y, Zhou L (2012) Exponential stability of a class of cellular neural networks with multi-pantograph delays. Acta Electron Sin 40(6):1159–1163
33.
Zhou L (2013) Delay-dependent exponential stability of cellular neural networks with multi-proportional delays. Neural Process Lett 38:347–359CrossRef
34.
Zhou L, Liu J (2013) Global asymptotic stability of a class of cellular neural networks with proportional delays. Chin J Eng Math 5(30):673–682MathSciNetMATH
35.
Zhou L, Zhang Y (2015) Global exponential stability of cellular neural networks with multi-proportional delays. Int J Biomath 8(6):1550071MathSciNetCrossRefMATH
36.
Zhou L (2015) Novel global exponential stability criteria for hybrid BAM neural networks with proportional delays. Neurocomputing 161:99–106CrossRef
37.
Chen T, Wang L (2007) Power-rate global stability of dynamical systems with unbounded time-varying delays. IEEE Trans Circuits Syst II 54(8):705–709CrossRef
38.
Chen T, Wang L (2007) Global \(\mu \)-stability of delayed neural networks with unbounded time-varying delays. IEEE Trans Neural Netw 18(8):1836–1840CrossRef
39.
Wang L, Chen T (2014) Multiple \(\mu \)-stability of neural networks with unbounded time-varying delays. Neural Netw 53:109–118CrossRefMATH
Metadaten
Titel
Finite-Time Stability of a Class of CNNs with Heterogeneous Proportional Delays and Oscillating Leakage Coefficients
verfasst von
Bingwen Liu
Publikationsdatum
15.03.2016
Verlag
Springer US
Erschienen in
Neural Processing Letters / Ausgabe 1/2017
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-016-9512-3

Weitere Artikel der Ausgabe 1/2017

Neural Processing Letters 1/2017 Zur Ausgabe

OriginalPaper

A Neural Network Approach for Solving a Class of Fractional Optimal Control Problems

OriginalPaper

Novel Switching Jumps Dependent Exponential Synchronization Criteria for Memristor-Based Neural Networks

OriginalPaper

Hyperconic Multilayer Perceptron

OriginalPaper

Realistic Hodgkin–Huxley Axons Using Stochastic Behavior of Memristors

OriginalPaper

Stability Analysis of Fractional-Order Hopfield Neural Networks with Time-Varying External Inputs

OriginalPaper

Hierarchical Multilabel Classification with Optimal Path Prediction

Neuer Inhalt

    Bildnachweise