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 Computing and Applications
Erschienen in: Neural Computing and Applications 1/2018

27.06.2016 | Original Article

Delay-dependent stochastic stability for discrete singular neural networks with Markovian jump and mixed time-delays

verfasst von: Yuechao Ma, Yuqing Zheng

Erschienen in: Neural Computing and Applications | Ausgabe 1/2018

Einloggen

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

search-config
loading …

Abstract

In this paper, the stability analysis problem is investigated for a new class of discrete-time singular neural networks with Markovian jump and mixed time-delays. The jumping parameters are generated from a discrete-time homogeneous Markov process, which are governed by a Markov process with discrete and finite state space. The mixed time-delays are composed of discrete and distributed delays. The activation functions are not required to be strictly monotonic and be differentiable. The purpose of this paper is to derive some delay-dependent sufficient conditions such that the singular neural networks to be regular, causal and stochastically stable in the mean square. Finally, numerical examples are also provided to illustrate the effectiveness of the proposed methods.
Vorheriger Artikel Global convergence of CNNs with neutral type delays and D operator
Nächster Artikel Diagnosis of Alzheimer's disease using Naive Bayesian Classifier

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

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

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+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
Literatur
1.
Wu Z, Su H, Chu J, Zhou W (2009) Improved result on stability analysis of discrete stochastic neural networks with time delay. Phys Lett A 373(17):1546–1552MathSciNetCrossRefMATH
2.
Wu Z, Shi P (2011) Passivity analysis for discrete-time stochastic Markovian jump neural networks with mixed time delays. IEEE Trans Neural Netw 22(10):1566–1575CrossRef
3.
Zhang Y (2013) Stochastic stability of discrete-time Markovian jump delay neural networks with impluses and incomplete information on transition probability. Neural Netw 46:276–282CrossRefMATH
4.
Balasubramaniam P, Rakkiyappan R (2009) Delay-dependent robust stability analysis for Markovian jumping stochastic Cohen–Grossberg neural networks with discrete interval and distributed time-varying delays. Nonlinear Anal Hybrid Syst 3:207–214MathSciNetCrossRefMATH
5.
Shi P, Boukas EK, Agarwal K (1999) Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay. IEEE Trans Autom Control 44:2139–2144MathSciNetCrossRefMATH
6.
Liu H, Zhao L, Zhang Z, Ou Y (2009) Stochastic stability of Markovian jumping Hopfield neural networks with constant and distributed delays. Neurocomputing 72:3669–3674CrossRef
7.
Li L, Zhang Q, Li J, Wang G (2014) Robust finite-time \(H_{\infty }\) control for uncertain singular stochastic Markovian jump systems via proportional differential control law. IET Control Theory Appl 8(16):1625–1638MathSciNetCrossRef
8.
Boukas E, Liu Z (2001) Robust control of discrete-time Markovian jump linear systems with mode-dependent time-delays. IEEE Trans Autom Control 46:1918–1924MathSciNetCrossRefMATH
9.
Wu Z, Shi P, Su H, Chu J (2012) Stability analysis for discrete-time Markovian jump neural networks mixed time-delays. Expert Syst Appl 39:6174–6181CrossRef
10.
Lakshmanan S, Rihan Fathalla A, Rakkiyappan R, Park Ju H (2014) Stability analysis of the differential genetic regulatory networks model with time-varying delays and Markovian jumping parameters. Nonlinear Anal Hybrid Syst 14:1–15MathSciNetCrossRefMATH
11.
Ma Y, Gu N, Zhang Q (2014) Non-fragile robust \(H_{\infty }\) control for uncertain discrete-time singular with time-varying delays. J Frankl Inst 251:3163–3181MathSciNetCrossRefMATH
12.
Yue D, Tian E, Zhang Y (2010) A piecewise analysis method to stability analysis of linear continuous/discrete systems with time-varying delay. Int J Robust Nonlinear Control 19(13):1493–1518MathSciNetCrossRefMATH
13.
Long S, Zhong S, Zhu H, Xiong L (2014) Delay-dependent stochastic admissibility for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay. Commun Nonlinear Sci Numer Simul 19:673–685MathSciNetCrossRef
14.
Liu Y, Wang Z, Liu X (2009) Asymptotic stability for networks with mixed time-delays: the discrete-time case. Neural Netw 22:67–74CrossRefMATH
15.
Boukas E, Jam L (2006) Stability of stochastic singular nonlinear hybrid systems. Nonlinear Anal Hybrid Syst 64:217–228CrossRefMATH
16.
Yao X, Wu L, Zheng W (2011) Fault detection filter design for Markovian jump singular systems with intermittent measurements. IEEE Trans Singal Process 59(7):3099–3109MathSciNetCrossRef
17.
Fridman E, Shaked U (2002) A descriptor system approach to control of linear time-delay systems. IEEE Trans Autom Control 47:253–270MathSciNetCrossRefMATH
18.
19.
Boukas E, Xu S, Lam J (2005) On stability and stabilizability of singular stochastic system with delay. J Optim Theory Appl 127(2):249–262MathSciNetCrossRefMATH
20.
Xu S, Dooren P, Stefan R, Lam J (2002) Robust stability and stabilization for singular systems with state delay and parameter uncertainty. IEEE Trans Autom Control 47:1122–1128MathSciNetCrossRefMATH
21.
22.
Xu S, Lam J (2006) Robust control and filtering of singular systems. Springer, BerlinMATH
23.
Ma Y, Zheng Y (2015) Stochastic stability analysis for neural networks with mixed time-varying delays. Neural Comput Appl 26(2):447–455MathSciNetCrossRef
24.
Ma S, Boukas E (2009) Stability and robust stability for uncertain discrete stochastic hybrid singular systems with time delay. IET Control Theory Appl 3(9):1217–1225MathSciNetCrossRef
25.
Zhang L, Zhu Y, Zheng W (2016) Synchronization and state estimation of a class of hierarchical hybrid neural networks with time-varying delays. IEEE Trans Neural Netw Learn Syst 27(2):459–470MathSciNetCrossRef
26.
Zhou C, Zhu X (2010) Delay-dependent robust \(H_{2}\) guaranteed control for singular stochastic neural networks with distributed delays. In: Proceedings of the 2010 IEEE, international conference on mechatronics and automation, Xi’an, China, August 4–7, 2010
27.
Zhang X, Han Q (2006) Delay-dependent robust H filtering for uncertain discrete-time systems with time-varying delay based on a finite sum inequality. IEEE Trans Cricurits Syst II Express 53(12):1466–1470
28.
Wang H, Xue A, Lu R (2009) Absolute criteria for a class of nonlinear singular systems with time delay. Nonlinear Anal Theory Methods Appl 70:621–630MathSciNetCrossRefMATH
29.
Sakthivel R, Mathiyalagan K, Anthoni S (2012) Robust \(H_{\infty }\) control for uncertain discrete-time stochastic neural networks with time-varying delays. IET Control Theory Appl 6(9):1220–1228MathSciNetCrossRefMATH
30.
Ma S, Cheng Z, Zheng C (2007) Delay-dependent robust stability and stabilization for uncertain discrete singular systems with time-varying delays. IET Control Theory Appl 1(4):1086–1095MathSciNetCrossRef
31.
Boukas E, Liu Z (2000) Robust stability and control discrete-time jump linear systems with time-delays: an LMI approach. In: Proceedings of the 39th IEEE conference on decision and control. Sydney, Australia, pp 1527–1532, 2000
32.
Wang H, Xue A, Lu R, Chen Y (2007) Delay-dependent robust \(H_{\infty }\) control uncertain discrete singular time-varying delay systems based on a finite sum inequality. In: Proceeding of the 26th Chinese Control Conference, IEEE. Zhangjiajie, China, 2007, pp 595–599
33.
34.
Liu Y, Wang Z, Liu X (2009) Stability and synchronization of discrete-time Markovian jumping neural networks with mixed mode-dependent time delays. IEEE Trans Neural Netw 20:1102–1116CrossRef
35.
Kanjilal P, Dey P, Banerjee D (1993) Reduced-size neural networks through singular value decomposition and subset selection. Electron Lett 29(17):1516–1518CrossRef
36.
Yao X, Zhu L, Guo L (2014) Disturbance-observer-based control and \(H_{\infty }\) control for non-linear Markovian jump singular systems with multiple disturbances. IET Control Theory Appl 8(16):1689–1697MathSciNetCrossRef
37.
Luan X, Liu F, Shi P (2010) Neural-network-based finite-time \(H_{\infty }\) control for extended Markov jump nonlinear systems. Int J Adapt Control Signal Process 24:554–567MathSciNetMATH
38.
Shu Y, Liu X, Liu Y (2016) Stability and passivity analysis for uncertain discrete-time neural networks with time-varying delay. Neurocomputing 173:1706–1714CrossRef
Metadaten
Titel
Delay-dependent stochastic stability for discrete singular neural networks with Markovian jump and mixed time-delays
verfasst von
Yuechao Ma
Yuqing Zheng
Publikationsdatum
27.06.2016
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 1/2018
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-016-2414-5

Weitere Artikel der Ausgabe 1/2018

Neural Computing and Applications 1/2018 Zur Ausgabe

Recent advances in Pattern Recognition and Artificial Intelligence

Efficient subspace clustering based on self-representation and grouping effect

Original Article

Diagnosis of Alzheimer's disease using Naive Bayesian Classifier

Editorial

Foreword to the special issue on recent advances on pattern recognition and artificial intelligence

Original Article

A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection

Recent advances in Pattern Recognition and Artificial Intelligence

Text classification based on deep belief network and softmax regression

Original Article

Proposing a graph ranking method for manufacturing system selection in high-tech industries