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Neural Processing Letters

Erschienen in:

07.05.2018

Global Convergence on Asymptotically Almost Periodic SICNNs with Nonlinear Decay Functions

verfasst von: Chuangxia Huang, Bingwen Liu, Xuemei Tian, Luanshan Yang, Xiaoxiao Zhang

Erschienen in: Neural Processing Letters | Ausgabe 2/2019

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Abstract

In this paper, we propose a class of asymptotically almost periodic shunting inhibitory cellular neural networks with mixed delays and nonlinear decay functions. Without using the exponential dichotomy theory of linear differential equations, a set of easily verifiable sufficient conditions are established to show that every solution of the considered system is asymptotically almost periodic, and converges to a same almost periodic function as \(t\rightarrow +\infty \), which improve and supplement some previously known researches. Finally, a numerical example is given to demonstrate the effectiveness of the obtained results.

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Bouzerdoum A, Pinter RB (1993) Shunting inhibitory cellular neural networks: derivation and stability analysis. IEEE Trans Circuits Syst I 40(3):215–221MathSciNetMATHCrossRef

Chen AP, Cao JD (2002) Almost periodic solution of shunting inhibitory CNNs with delays. Phys Lett A 298(2–3):161–170MathSciNetMATHCrossRef

Huang X, Cao JD (2003) Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay. Phys Lett A 314(3):222–231MathSciNetMATHCrossRef

Liu YG, You ZS, Cao LP (2007) Almost periodic solution of shunting inhibitory cellular neural networks with time varying and continuously distributed delays. Phys Lett A 364(1):17–28CrossRef

Liu B, Huang L (2007) Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays. Chaos Solitons Fract 31(1):211–217MathSciNetMATHCrossRef

Cai M, Zhang H, Yuan Z (2008) Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays. Math Comput Simul 78(4):548–558MathSciNetMATHCrossRef

Ou C (2009) Almost periodic solutions for shunting inhibitory cellular neural networks. Nonlinear Anal Real World Appl 10(5):2652–2658MathSciNetMATHCrossRef

Fan Q, Shao J (2010) Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying and continuously distributed delays. Commun Nonlinear Sci Numer Simul 15(6):1655–1663MathSciNetMATHCrossRef

Zhang A (2017) Almost periodic solutions for SICNNs with neutral type proportional delays and D operators. Neural Process Lett. https://doi.org/10.1007/s11063-017-9631-5 CrossRef

10.

Ch\(\acute{e}\)rif F (2012) Existence and global exponential stability of pseudo almost periodic solution for SICNNs with mixed delays. J Appl Math Comput 39:235–251

11.

Wang W, Liu B (2014) Global exponential stability of pseudo almost periodic solutions for SICNNs with time-varying leakage delays. Abstr Appl Anal 2014(967328):1–18MathSciNetMATH

12.

Zhou Q, Shao J (2018) Weighted pseudo anti-periodic SICNNs with mixed delays. Neural Comput Appl 29:865–872CrossRef

13.

Zhou Q (2016) Pseudo almost periodic solutions for SICNNs with leakage delays and complex deviating arguments. Neural Process Lett 44:375–386CrossRef

14.

Zhang A (2017) Pseudo almost periodic solutions for SICNNs with oscillating leakage coefficients and complex deviating arguments. Neural Process Lett 45:183–196CrossRef

15.

Zhang A (2017) Pseudo almost periodic solutions for neutral type SICNNs with D operator. J Exp Theor Artif Intell 29(4):795–807CrossRef

16.

Zhang A (2018) Pseudo almost periodic solutions for CNNs with oscillating leakage coefficients and complex deviating arguments. J Exp Theor Artif Intell 30(1):89–100CrossRef

17.

Zhang A (2017) Pseudo almost periodic high-order cellular neural networks with complex deviating arguments. Int J Mach Learn Cyber. https://doi.org/10.1007/s13042-017-0715-3 CrossRef

18.

Tang Y (2017) Pseudo almost periodic shunting inhibitory cellular neural networks with multi-proportional delays. Neural Process Lett. https://doi.org/10.1007/s11063-017-9708-1 CrossRef

19.

Xu Y (2017) Exponential stability of weighted pseudo almost periodic solutions for HCNNs with mixed delays. Neural Process Lett 46:507–519CrossRef

20.

Shao J (2008) Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays. Phys Lett A 372(30):5011–5016MATHCrossRef

21.

Liu X (2015) Exponential convergence of SICNNs with delays and oscillating coefficients in leakage terms. Neurocomputing 168:500–504CrossRef

22.

Jiang A (2016) Exponential convergence for HCNNs with oscillating coefficients in leakage terms. Neural Process Lett 43:285–294CrossRef

23.

Long Z (2016) New results on anti-periodic solutions for SICNNs with oscillating coefficients in leakage terms. Neurocomputing 171(1):503–509CrossRef

24.

Yu Y (2016) Global exponential convergence for a class of HCNNs with neutral time-proportional delays. Appl Math Comput 285:1–7MathSciNetMATH

25.

Yao L (2017) Global exponential convergence of neutral type shunting inhibitory cellular neural networks with D operator. Neural Process Lett 45:401–409CrossRef

26.

Zhang C (2003) Almost periodic type functions and ergodicity. Kluwer Academic/Science Press, BeijingMATHCrossRef

27.

Fink AM (1974) Almost periodic differential equations, vol 377. Lecture Notes in Mathematics. Springer, Berlin

28.

Hino Y, Murakami S, Naito T (1985) Functional differential equations with infinite delay. Springer, Berlin, pp 338–352MATH

29.

Lu JQ, Ho DWC, Wu LG (2009) Exponential stabilization of switched stochastic dynamical networks. Nonlinearity 22:889–911MathSciNetMATHCrossRef

30.

Lu JQ, Wang ZD, Cao JD, Ho DWC, Kurths J (2012) Pinning impulsive stabilization of nonlinear dynamical networks with time-varying delay. Int J Bifurc Chaos 22(7):1250176MATHCrossRef

Titel: Global Convergence on Asymptotically Almost Periodic SICNNs with Nonlinear Decay Functions
verfasst von: Chuangxia Huang
Bingwen Liu
Xuemei Tian
Luanshan Yang
Xiaoxiao Zhang
Publikationsdatum: 07.05.2018
Verlag: Springer US
Erschienen in: Neural Processing Letters / Ausgabe 2/2019
Print ISSN: 1370-4621
Elektronische ISSN: 1573-773X
DOI: https://doi.org/10.1007/s11063-018-9835-3

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