Impulsive Cohen-Grossberg neural networks with s-type distributed delays
By: Haydar Akça and Valéry Covachev
Open Access
|Nov 2012References
- [1] AKC¸A, H.-ALASSAR, R.-COVACHEV, V.-COVACHEVA, Z.-AL-ZAHRANI, E.: Continuous-time additive Hopfield-type neural networks with impulses, J. Math. Anal. Appl. 290 (2004), 436-451.
- [2] ARIK, S.-ORMAN, Z.: Global stability analysis of Cohen-Grossberg neural networks with varying delays, Phys. Lett. A 341 (2005), 410-421.
- [3] BAO, S.: Global exponential robust stability of static reaction-diffusion neural networks with S-type distributed delays, in: 6th Internat. Symp. on Neural Networks (H. Wang et al., eds.), Wuhan, People’s Republic of China, 2009, Advances in Intelligent and Soft Computing, Vol. 56, Springer-Verlag, Berlin, 2009, pp. 69-79.
- [4] CHEN, Z.-RUAN, J.: Global dynamic analysis of general Cohen-Grossberg neural net- works with impulse, Chaos Solitons Fractals 32 (2007), 1830-1837.
- [5] CHEN, Z.-RUAN, J.: Global stability analysis of impulsive Cohen-Grossberg neural net- works with delay, Phys. Lett. A 345 (2005), 101-111.
- [6] COHEN, M. A.-GROSSBERG, S.: Absolute stability of global pattern formation and parallel memory storage by competitive neural networks, IEEE Trans. Systems Man Cy- bernet. 13 (1983), 815-826.
- [7] FORTI, M.-TESI, A.: New conditions for global stability of neural networks with appli- cation to linear and quadratic programming problems, IEEE Trans. Circuits Syst. I Fund. Theory Appl. 42 (1995), 354-366.
- [8] GUO, D. J.-SUN, J. X.-LIN, Z. I.: Functional Methods of Nonlinear Ordinary Differ- ential Equations, Shandong Science Press, Jinan, 1995.
- [9] HADAMARD, J.-S.: Sur les Correspondences Ponctuelles, OEuvres, ´Editions du Centre National de la Recherche Scientifique, Paris, 1968.
- [10] KAO, Y.-BAO, S.: Exponential stability of reaction-diffusion Cohen-Grossberg neural networks with S-type distributed delays, in: 6th Internat. Symp. on Neural Networks (H. Wang et al., eds.), Wuhan, People’s Republic of China, 2009, Advances in Intelli- gent and Soft Computing, Vol. 56, Springer-Verlag, Berlin, 2009, pp. 59-68.
- [11] MOHAMAD, S.-GOPALSAMY, K.-AKC¸A, H.: Exponential stability of artificial neu- ral networks with distributed delays and large impulses, Nonlinear Anal. RealWorld Appl. 9 (2008), 872-888.
- [12] SONG, Q.-CAO, J.: Impulsive effects on stability of fuzzy Cohen-Grossberg neural net- works with time-varying delays, IEEE Trans. Systems Man Cybernet. Part B 37 (2007), 733-741.
- [13] WANG, M.-WANG, L.: Global asymptotic robust stability of static neural network mod- els with S-type distributed delays, Math. Comput. Modelling 44 (2006), 218-222.
- [14] YANG, F.-ZHANG, C.-WU, D.: Global stability of impulsive BAM type Cohen- -Grossberg neural networks with delays, Appl. Math. Comput. 186 (2007), 932-940.
- [15] YANG, Z.-XU, D.: Impulsive effects on stability of Cohen-Grossberg neural networks with variable delays, Appl. Math. Comput. 177 (2006), 63-78.
DOI: https://doi.org/10.2478/v10127-011-0001-9 | Journal eISSN: 1338-9750 (formerly 1210-3195) | Journal ISSN: 1210-3195
Language: English
Page range: 1 - 13
Published on: Nov 13, 2012
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2012 Haydar Akça, Valéry Covachev, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.