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Neural Computing and Applications
Erschienen in: Neural Computing and Applications 2/2016

01.02.2016 | Original Article

The stabilization of BAM neural networks with time-varying delays in the leakage terms via sampled-data control

verfasst von: Li Li, Yongqing Yang, Guang Lin

Erschienen in: Neural Computing and Applications | Ausgabe 2/2016

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Abstract

This paper is concerned with the stabilization of bidirectional associative memory neural networks with time-varying delays in the leakage terms using sampled-data control. We apply an input delay approach to change the sampling system into a continuous time-delay system. Based on the Lyapunov theory, some stability criteria are obtained. These conditions are expressed in terms of linear matrix inequalities and can be solved via standard numerical software. Finally, one numerical example is given to demonstrate the effectiveness of the proposed results .
Vorheriger Artikel A spectral–textural kernel-based classification method of remotely sensed images
Nächster Artikel Joint learning of cross-modal classifier and factor analysis for multimedia data classification

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Literatur
1.
Wang WQ, Zhong SM, Nguang SK, Liu F (2013) Novel delay-dependent stability criterion for uncertain genetic regulatory networks with interval time-varying delays. Neurocomputing 121:170–178CrossRef
2.
Arunkumar A, Sakthivel R, Mathiyalagan K, Marshal Anthoni S (2014) Robust state estimation for discrete-time BAM neural networks with time-varying delay. Neurocomputing 131:171–178CrossRef
3.
Huang S, Xiang Z (2013) Robust \(L_\infty \) reliable control for uncertain switched nonlinear systems with time delay under asynchronous switching. Appl Math Comput 222:658–670MathSciNetCrossRef
4.
Syed AM, Balasubramaniam P (2009) Robust stability of uncertain fuzzy Cohen–Grossberg BAM neural networks with time-varying delays. Expert Syst Appl 36:10583–10588CrossRef
5.
Balasubramaniam P, Vidhya C (2010) Global asymptotic stability of stochastic BAM neural networks with distributed delays and reaction–diffusion terms. J Comput Appl Math 234:3458–3466MATHMathSciNetCrossRef
6.
Kwon OM, Park JH, Lee SM, Cha EJ (2012) New results on exponential passivity of neural networks with time-varying delays. Nonlinear Anal Real World Appl 13:1593–1599MathSciNetCrossRef
7.
Sakthivel R, Arunkumar A, Mathiyalagan K, Marshal Anthoni S (2011) Robust passivity analysis of fuzzy Cohen–Grossberg BAM neural networks with time-varying delays. Appl Math Comput 218:3799–3809MATHMathSciNetCrossRef
8.
Li H, Gao H, Shi P (2010) New passivity analysis for neural networks with discrete and distributed delays. IEEE Trans Neural Netw 21:1842–1847CrossRef
9.
Li XD, Fu XL (2013) Effect of leakage time-varying delay on stability of nonlinear differential systems. J Frankl Inst 350:1335–1344MATHMathSciNetCrossRef
10.
Xu Y (2014) New results on almost periodic solutions for CNNs with time-varying leakage delays. Neural Comput Appl 25:1293–1302CrossRef
11.
Kosko B (1992) Neural networks and fuzzy systems. Prentice Hall, New DelhiMATH
12.
Gopalsamy K (1992) Stability and oscillations in delay differential equations of population dynamics. Kluwer, DordrechtMATHCrossRef
13.
14.
Balasubramaniam P, Kalpana M, Rakkiyappan R (2011) Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays. Math Comput Model 53:839–853MATHMathSciNetCrossRef
15.
Liu B (2013) Global exponential stability for BAM neural networks with time-varying delays in the leakage terms. Nonlinear Anal Real World Appl 14:559–566MATHMathSciNetCrossRef
16.
Lakshmanan S, Park JH, Lee TH, Jung HY, Rakkiyappan R (2013) Stability criteria for BAM neural networks with leakage delays and probabilistic time-varying delays. Appl Math Comput 219:9408–9423MATHMathSciNetCrossRef
17.
Li XD, Fu XL, Balasubramaniamc P, Rakkiyappan R (2010) Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations. Nonlinear Anal Real World Appl 11:4092–4108MATHMathSciNetCrossRef
18.
Sakthivel R, Raja R, Marshal Anthoni S (2010) Asymptotic stability of delayed stochastic genetic regulatory networks with impulses. Phys Scr 7:055009CrossRef
19.
Sakthivel R, Samidurai R, Marshal Anthoni S (2010) New exponential stability criteria for stochastic BAM neural networks with impulses. Phys Scr 82:045802CrossRef
20.
Calise A, Hovakimyan N, Idam M (2001) Adaptive output feedback control of nonlinear systems using neural networks. Automatica 37:1201–1211MATHCrossRef
21.
Behrouz E, Reza T, Matthew F (2014) A dynamic feedback control strategy for control loops with time-varying delay. Int J Control 87:887–897MATHCrossRef
22.
Cai S, Hao J, He Q, Liu Z (2011) Exponential synchronization of complex delayed dynamical networks via pinning periodically intermittent control. Phys Lett A 375:1965–1971MATHCrossRef
23.
Liu Y, Jiang HJ (2012) Exponential stability of genetic regulatory networks with mixed delays by periodically intermittent control. Neural Comput Appl 21:1263–1269CrossRef
24.
Stamovaa I, Stamovb G (2011) Impulsive control on global asymptotic stability for a class of impulsive bidirectional associative memory neural networks with distributed delays. Math Comput Model 53:824–831CrossRef
25.
Zhu Q, Cao J (2012) Stability analysis of Markovian jump stochastic BAM neural networks with impulse control and mixed time delays. IEEE Trans Neural Netw Learn Syst 23:467–479CrossRef
26.
Li XD, Song SJ (2013) Impulsive control for existence, uniqueness, and global stability of periodic solutions of recurrent neural networks with discrete and continuously distributed delays. IEEE Trans Neural Netw Learn Syst 24:868–877MathSciNetCrossRef
27.
Li XD, Rakkiyappan R (2013) Impulsive controller design for exponential synchronization of chaotic neural networks with mixed delays. Commun Nonlinear Sci Numer Simul 18:1515–1523MATHMathSciNetCrossRef
28.
Jagannathan S, Vandegrift M, Lewis FL (2000) Adaptive fuzzy logic control of discrete-time dynamical systems. Automatica 36:229–241MATHMathSciNetCrossRef
29.
Zhang WT, Liu Y (2014) Distributed consensus for sampled-data control multi-agent systems with missing control inputs. Appl Math Comput 240:348–357MathSciNetCrossRef
30.
Lu J, Hill DJ (2008) Global asymptotical synchronization of chaotic Lure systems using sampled data: a linear matrix inequality approach. IEEE Trans Circuits Syst Part II 55:586–590
31.
Friman E (2010) A refined input delay approach to sampled-data control. Automatica 46:421–427CrossRef
32.
Wu ZG, Shi P, Su H, Chu J (2014) Exponential stabilization for sampled-data neural-network-based control systems. IEEE Trans Neural Netw Learn Syst 99:2180–2190CrossRef
33.
Lee TH, Wu ZG, Park JH (2012) Synchronization of a complex dynamical networks with coupling time-varying delays via sampled-data control. Appl Math Comput 219:1354–1366MATHMathSciNetCrossRef
34.
Gan Q, Liang Y (2012) Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control. J Frankl Inst 349:1955–1971MATHMathSciNetCrossRef
35.
Chen ZY, Fujioka H (2014) Performance analysis of nonlinear sampled-data emulated controllers. IEEE Trans Autom Control 59:2778–2783MathSciNetCrossRef
36.
Fridman E (1992) Using models with aftereffect in the problem of design of optimal digital control. Autom Remote Control 53:1523–1528MathSciNet
37.
Zhu Q, Huang C, Yang X (2011) Exponential stability for stochastic jumping BAM neural networks with time-varying and distributed delays. Nonlinear Anal Hybrid Syst 5:52–77MATHMathSciNetCrossRef
38.
Zhu Q, Cao J (2010) Robust exponential stability of Markovian jump impulsive stochastic Cohen–Grossberg neural networks with mixed time delays. IEEE Trans Neural Netw 21:1314–1325CrossRef
39.
Zhu Q, Cao J (2010) Stability analysis for stochastic neural networks of neutral type with both Markovian jump parameters and mixed time delays. Neurocomputing 73:2671–2680CrossRef
40.
Gu K (2000) An integral inequality in the stability problem of time-delay systems In: Proceedings of the 39th IEEE conference on decision control, Sydney, Australia 2805–2810
41.
Slotine J, Li W (1991) Applied nonlinear control. Prentice-Hall, Englewood CliffsMATH
Metadaten
Titel
The stabilization of BAM neural networks with time-varying delays in the leakage terms via sampled-data control
verfasst von
Li Li
Yongqing Yang
Guang Lin
Publikationsdatum
01.02.2016
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 2/2016
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-015-1865-4

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