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International Journal of Machine Learning and Cybernetics
Erschienen in: International Journal of Machine Learning and Cybernetics 4/2015

01.08.2015 | Original Article

New results of stability analysis for a class of neutral-type neural network with mixed time delays

verfasst von: Deyou Liu, Yue Du

Erschienen in: International Journal of Machine Learning and Cybernetics | Ausgabe 4/2015

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Abstract

In this paper, by using Lyapunov–Krasovskii functionals involving triple terms, we investigate the global exponential robust stability for uncertain neutral-type neutral networks with discrete and distributed delays. Several stability criteria are derived for the delayed neural networks in terms of LMIs. Some numerical examples are given to illustrate the applicability of the obtained results by using LMI control toolbox in MATLAB.
Vorheriger Artikel Road crack detection using color variance distribution and discriminant analysis for approaching smooth vehicle movement on non-smooth roads
Nächster Artikel Neural network equations and symbolic dynamics

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Literatur
1.
Bouzerdoum A, Pattison TR (1993) Neural networks for quadratic optimization with bound constrains. IEEE Trans Neural Netw 4:293–303CrossRef
2.
Forti M, Tesi A (1995) New conditions for global stability of neural networks with application to linear and quadratic programming problems. IEEE Trans Circuits Syst I 42:354–336MathSciNetCrossRefMATH
3.
4.
Ramesh M, Narayanan S (2001) Chaos control of Bonhoeffer-van der Pol oscillator using neural networks. Chaos Solitons Fractals 12:2395–2405CrossRefMATH
5.
Chen CJ, Liao TL, Hwang CC (2005) Exponential synchronization of a class of chaotic neural networks. Chaos Solitons Fractals 24:197–206MathSciNetCrossRef
6.
Maundy B, Ei-Masry EI (1990) A switched capacitor bidirectional associative memory. IEEE Trans Circuits Syst I 37:1568–1572CrossRef
7.
Mahmoud MS (2005) Abdulla Ismail, New results on delay-dependent control of time-delay systems. IEEE Trans Autom Control 50:95–100CrossRef
8.
Chen Y, Fei S, Zhang K (2012) Improved asymptotic stability conditions for neural networks with discrete and distributed delays. Int J Comput Math 89:1938–1951MathSciNetCrossRefMATH
9.
10.
Ensari T, Arik S (2010) New results for robust stability of dynamical neural networks with discrete time delays. Expert Syst Appl 37:5925–5930CrossRef
11.
Cao J, Li X (2005) Stability in delayed Cohen-Grossberg neural networks: LMI optimization approach. Physica D 212(1–2):54–65MathSciNetCrossRefMATH
12.
Liu Y, Wang Z, Liu X (2009) Asymptotic stability for neural networks with mixed time-delays: the discrete-time case. Neural Netw 22:67–74CrossRef
13.
Bao H, Cao J (2011) Delay-distribution-dependent state estimation for discrete-time stochastic neural networks with random delay. Neural Netw 24:19–28CrossRefMATH
14.
Shen Y, Wang J (2008) An improved algebraic criterion for global exponential stability of recurrent neural networks with time-varying delays. IEEE Trans Neural Netw 19:528–531CrossRef
15.
Cao J, Yuan K, Li H (2006) Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays. IEEE Trans Neural Netw 17:1646–1651CrossRef
16.
Wu A, Zeng Z (2013) Anti-synchronization control of a class of memristive recurrent neural networks. Commun Nonlinear Sci Numer Simul 18:373–385MathSciNetCrossRefMATH
17.
18.
Shu Z, Lam J (2008) Global exponential estimates of stochastic interval neural networks with discrete and distributed delays. Neurocomputing 71(3–5):2950–2963CrossRef
19.
Rakkiyappan R, Balasubramaniam P (2009) LMI conditions for stability of stochastic recurrent neural networks with distributed selays. Chaos Solitons Fractals 40(4):1688–1696MathSciNetCrossRefMATH
20.
Zhang Y, Yue D, Tian E (2009) Robust delay-distribution-dependent stability of discrete-time stochastic neural networks with time-varying delay. Neurocomputing 72(4–6):1265–1273CrossRef
21.
Syed Ali M (2014) Stability analysis of Markovian Jumping stochastic Cohen-Grossberg neural networks with discrete and distributed time varying delays. Chin Phys B 23(6): 060702CrossRef
22.
Orman Zeynep (2012) New sufficient conditions for global stability of neutral-type neural networks with time delays. Neurocomputing 97:141–148CrossRef
23.
Zhou QH, Wan L (2010) Global robust asymptotic stability analysis of BAM neural networks with time delay and impulse: an LMI approach. Appl Math Comput 216:1538–1545MathSciNetCrossRefMATH
24.
Liu LP, Han ZZ, Li WL (2009) Global stability analysis of interval neural networks with discrete and distributed delays of neutral type. Expert Syst Appl 36:7328–7331CrossRef
25.
Park JH, Kwon OM, Lee SM (2008) LMI optimization approach on stability for delayed neural networks of neutral-type. Sciencedirect 196: 236–244MathSciNetMATH
26.
Rakkiyappan R, Balasubramaniam P (2008) LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays. Appl Math Comput 204:317–324MathSciNetCrossRefMATH
27.
Lee SM, Kwon OM, Park Ju H (2010) A novel delay-dependent criterion for delayed neural networks of neutral type. Phys Lett A 374:1843–1848MathSciNetCrossRefMATH
28.
Park JH, Kwon OM (2009) Further results on state estimation for neural networks of neutral-type with time-varying delay. Appl Math Comput 208: 69–75MathSciNetCrossRefMATH
29.
Lakshmanan S, Balasubramaniam P (2011) New results of robust stability analysis for neutral-type neural networks with time-varying delays and Markovian jumping parameters. Can J Phys 89:827–840CrossRef
30.
Su WW, Chen YM (2009) Global asymptotic stability analysis for neutral stochastic neural networks with time-varying delays. Commun Nonlinear Sci Numer Simul 14:1576–1581MathSciNetCrossRefMATH
31.
Botmart T, Niamsup P (2010) Robust exponential stability and stabilizability of linear parameter dependent systems with delays. Appl Math Comput 217:2551–2566MathSciNetCrossRefMATH
32.
Mao WH, Deng FQ, Wan AH (2012) Delay-Dependent robust exponential stability for uncertain neutral stochastic systems with interval time-varying delay. J Appl Math 2012:593780. doi:10.​1155/​2012/​593780
33.
Mahmoud MS, Ismail A (2010) Improved results on robust exponential stability criteria for neutral-type delayed neural networks. Appl Math Comput 217:3011–3019MathSciNetCrossRefMATH
34.
Zhu J, Zhang QL, Yang CY (2009) Delay-dependent robust stability for Hopfield neural networks of neutral-type. Neurocomputing 72:2609–2617CrossRef
35.
Liu GQ, Yang SX, Fu W (2012) Stability analysis for uncertain stochastic delayed neural networks of neutral-type with discrete and distributed delays. J Comput 7(1):264–271
36.
Cao J, Zhong S, Hu Y (2007) Global stability analysis for a class of neutral networks with varying delays and control input. Appl Math Comput 189(2):1480–1490MathSciNetCrossRefMATH
37.
Feng J, Xu S, Zou Y (2009) Delay-dependent stability of neutral type neural networks with distributed delays. Neurocomputing 72:2576–2580CrossRef
38.
Samlia R, Arik S (2009) New results for global stability of a class of neutral-type neural systems with time delays. Appl Math Comput 210:564–570MathSciNetCrossRef
39.
Syed Ali M (2014) Robust stability of stochastic fuzzy impulsive recurrent neural networks with time-varying delays. Iran J Fuzzy Syst 11:1–13MathSciNet
40.
Syed Ali M (2014) Robust stability of stochastic uncertain recurrent neural networks with Markovian jumping parameters and time-varying delays. Int J Mach Learn Cybern 5:13–22CrossRef
41.
Sun J, Liu GP, Chen J (2009) Delay-dependent stability and stabilization of neutral time-delay systems. Int J Robust Nonlinear Control 19:1364–1375MathSciNetCrossRefMATH
42.
Singh V (2004) Robust stability of cellular neural networks with delay: Linear matrix inequality approach. Proc Inst Electr Eng Control Theory Appl 151(1):125–129CrossRef
43.
Boyd S, Ghaoui LE, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, PhiladelphiaCrossRefMATH
44.
Xia JW, Sun CY, Teng X, Zhang HB (2014) Delay-segment-dependent robust stability for uncertain discrete stochastic Markovian jumping systems with interval time delay. Int J Syst Sci 45:271–282
Metadaten
Titel
New results of stability analysis for a class of neutral-type neural network with mixed time delays
verfasst von
Deyou Liu
Yue Du
Publikationsdatum
01.08.2015
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Machine Learning and Cybernetics / Ausgabe 4/2015
Print ISSN: 1868-8071
Elektronische ISSN: 1868-808X
DOI
https://doi.org/10.1007/s13042-014-0302-9

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