nach oben

Neural Computing and Applications

Erschienen in:

18.02.2019 | Original Article

Ultimate boundedness of discrete stochastic time-delay systems with logic impulses

verfasst von: Zhenhua He, Jitao Sun

Erschienen in: Neural Computing and Applications | Ausgabe 10/2020

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, we introduce a discrete stochastic time-delay system with impulses suffered by logic choice and a pth moment \((\mu ,\rho )\)-ultimate boundedness concept for this new system. Based on the pth moment ultimate boundedness concept, we give some pth moment \((\mu ,\rho )\)-ultimate boundedness criteria for this new system. In the end, we illustrate the effectiveness of the criterion by an example.

Vorheriger Artikel A self-adaptive estimation of distribution algorithm with differential evolution strategy for supermarket location problem

Nächster Artikel Collaborative representation-based discriminant neighborhood projections for face recognition

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

Alabert A, León JA (2017) On uniqueness for some non-lipschitz sde. J Differ Equ 262(12):6047–6067MathSciNetMATH

Chen H, Sun J (2014) Output controllability and optimal output control of state-dependent switched Boolean control networks. Automatica 50:1929–1934MathSciNetMATH

Cheng D, Qi H (2010) A linear representation of dynamics of Boolean networks. IEEE Trans Autom Control 55:2251–2258MathSciNetMATH

Cheng D, Qi H, Li Z (2010) Analysis and control of Boolean networks: a semi-tensor product approach. Springer, Berlin

Dilda V, Jungers M, Castelan EB (2015) Uniform ultimate boundedness analysis and synthesis for linear systems with dead-zone in the actuators. Int J Robust Nonlinear Control 25(14):2502–2514MathSciNetMATH

Ding X, Li H, Yang Q, Zhou Y, Alsaedi A, Alsaadi FE (2017) Stochastic stability and stabilization of n-person random evolutionary boolean games. Appl Math Comput 306:1–12MathSciNetMATH

Dong S, Su H, Shi P, Lu R, Wu ZG (2017) Filtering for discrete-time switched fuzzy systems with quantization. IEEE Trans Fuzzy Syst 25(6):1616–1628

Dong Y, Liu W, Li T, Liang S (2017) Finite-time boundedness analysis and H-infinity control for switched neutral systems with mixed time-varying delays. J Frankl Inst 354(2):787–811MATH

Edwards R, Glass L (2014) Dynamics in genetic networks. Am Math Mon 121(9):793–809MathSciNetMATH

10.

Ferrante A, Lanzon A, Ntogramatzidis L (2017) Discrete-time negative imaginary systems. Automatica 79:1–10MathSciNetMATH

11.

Friedkin NE, Proskurnikov AV, Tempo R, Parsegov SE (2016) Network science on belief system dynamics under logic constraints. Science 354(6310):321–326MathSciNetMATH

12.

Fu X, Liu X (1999) Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations. Appl Math Comput 102(2):237–255MathSciNetMATH

13.

Graef J, Beldjerd D, Remili M (2015) On stability, ultimate boundedness, and existence of periodic solutions of certain third order differential equations with delay. PanAm. Math. J 25:82–94MathSciNetMATH

14.

Guan ZH, Liu N (2010) Generating chaos for discrete time-delayed systems via impulsive control. Chaos 20(1):013135MathSciNetMATH

15.

He D, Huang Y (2017) Ultimate boundedness theorems for impulsive stochastic differential systems with markovian switching. Appl Math Lett 65:40–47MathSciNetMATH

16.

Hu L, Mao X, Zhang L (2013) Robust stability and boundedness of nonlinear hybrid stochastic differential delay equations. IEEE Trans Autom Control 58(9):2319–2332MathSciNetMATH

17.

Huang J (2017) The cooperative output regulation problem of discrete-time linear multi-agent systems by the adaptive distributed observer. IEEE Trans Autom Control 62(4):1979–1984MathSciNetMATH

18.

Jin L, He Y, Wu M (2017) Improved delay-dependent stability analysis of discrete-time neural networks with time-varying delay. J Frankl Inst 354(4):1922–1936MathSciNetMATH

19.

Kauffman SA (1969) Metabolic stability and epigenesis in randomly constructed genetic nets. J Theor Biol 22:437–467MathSciNet

20.

Khan FM, Schmitz U, Nikolov S, Engelmann D, Pützer BM, Wolkenhauer O, Vera J (2014) Hybrid modeling of the crosstalk between signaling and transcriptional networks using ordinary differential equations and multi-valued logic. Biochim Biophys Acta Proteins Proteom 1844(1):289–298

21.

Kofman E, De Dona JA, Seron MM (2012) Probabilistic set invariance and ultimate boundedness. Automatica 48(10):2670–2676MathSciNetMATH

22.

Li F, Sun J (2012) Stability and stabilization of Boolean networks with impulsive effects. Syst Control Lett 61:1–5MathSciNetMATH

23.

Li Q, Shen B, Liu Y, Huang T (2017) Event-triggered H-infinity state estimation for discrete-time neural networks with mixed time delays and sensor saturations. Neural Comput Appl 28(12):3815–3825

24.

Long S, Zhong S (2017) Improved results for stochastic stabilization of a class of discrete-time singular markovian jump systems with time-varying delay. Nonlinear Anal Hybrid Syst 23:11–26MathSciNetMATH

25.

Long Y, Liu S, Xie L (2015) Distributed consensus of discrete-time multi-agent systems with multiplicative noises. Int J Robust Nonlinear Control 25(16):3113–3131MathSciNetMATH

26.

Ma Q, Xu S, Zou Y, Lu J (2011) Robust stability for discrete-time stochastic genetic regulatory networks. Nonlinear Anal Real World Appl 12(5):2586–2595MathSciNetMATH

27.

Peng S, Yang L (2017) The pth moment boundedness of stochastic functional differential equations with markovian switching. J Frankl Inst 354(1):345–359MATH

28.

Rahmani B (2017) Robust output feedback sliding mode control for uncertain discrete time systems. Nonlinear Anal Hybrid Syst 24:83–99MathSciNetMATH

29.

Shen L, Wu Q (2015) Existence results of stochastic impulsive systems with expectations-dependent nonlinear terms. Math Methods Appl Sci 38(13):2731–2738MathSciNetMATH

30.

Suo J, Sun J (2015) Asymptotic stability of differential systems with impulsive effects suffered by logic choice. Automatica 51:302–307MathSciNetMATH

31.

Wan L, Zhou Q, Wang P, Li J (2012) Ultimate boundedness and an attractor for stochastic hopfield neural networks with time-varying delays. Nonlinear Anal Real World Appl 13(2):953–958MathSciNetMATH

32.

Wan X, Wu M, He Y, She J (2016) Stability analysis for discrete time-delay systems based on new finite-sum inequalities. Inf Sci 369:119–127MATH

33.

Wang W (2017) Uniform ultimate boundedness of numerical solutions to nonlinear neutral delay differential equations. J Comput Appl Math 309:132–144MathSciNetMATH

34.

Wang Z, Liu Y, Wei G, Liu X (2010) A note on control of a class of discrete-time stochastic systems with distributed delays and nonlinear disturbances. Automatica 46(3):543–548MathSciNetMATH

35.

Wang Y, Zheng WX, Zhang H (2017) Dynamic event-based control of nonlinear stochastic systems. IEEE Trans Autom Control 62(12):6544–6551MathSciNetMATH

36.

Xu L, Ge SS (2015) Exponential ultimate boundedness of nonlinear stochastic difference systems with time-varying delays. Int J Control 88(5):983–989MathSciNetMATH

37.

Xu L, Hu H, Ge SS (2018) Exponential ultimate boundedness of impulsive stochastic delay difference systems. Int J Robust Nonlinear Control 28(3):781–797MathSciNetMATH

38.

Xu L, Hu H, Qin F (2016) Ultimate boundedness of impulsive fractional differential equations. Appl Math Lett 62:110–117MathSciNetMATH

39.

Zhang H, Yan H, Chen Q (2010) Stability and dissipative analysis for a class of stochastic system with time-delay. J Frankl Inst 347(5):882–893MathSciNetMATH

40.

Zhang W, Lin X, Chen BS (2017) Lasalle-type theorem and its applications to infinite horizon optimal control of discrete-time nonlinear stochastic systems. IEEE Trans Autom Control 62(1):250–261MathSciNetMATH

41.

Zhang H, Wang Y (2008) Stability analysis of Markovian jumping stochastic Cohen–Grossberg neural networks with mixed time delays. IEEE Trans Neural Netw 19(2):366–370MathSciNet

42.

Zhang J, Sun J (2018) Exponential synchronization of complex networks with continuous dynamics and Boolean mechanism. Neurocomputing 307(1):146–152

Titel: Ultimate boundedness of discrete stochastic time-delay systems with logic impulses
verfasst von: Zhenhua He
Jitao Sun
Publikationsdatum: 18.02.2019
Verlag: Springer London
Erschienen in: Neural Computing and Applications / Ausgabe 10/2020
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-019-04054-7

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

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

Springer Professional "Wirtschaft"

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Weitere Artikel der Ausgabe 10/2020

Fuzzy logic-based modelling of yield strength of as-cast A356 alloy

Multi-way matching based fine-grained sentiment analysis for user reviews

Diagnosis model of pancreatic cancer based on fusion of distribution estimation algorithm and genetic algorithm

Multiple attribute group decision making using J-divergence and evidential reasoning theory under intuitionistic fuzzy environment

FEMa: a finite element machine for fast learning

Trust-based security routing mechanism in mobile social networks