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Some sufficient conditions for global exponential stability of delayed Hopfield neural networks

, : Some sufficient conditions for global exponential stability of delayed Hopfield neural networks. Neural Networks 17(4): 537-544

In this paper, we have derived some sufficient conditions for existence and uniqueness of equilibrium and global exponential stability in delayed Hopfield neural networks by using a different approach from the usually used one where the existence, uniqueness of equilibrium and stability are proved in two separate steps, rather we first prove global exponential convergence to 0 of the difference between any two solutions of the original neural networks, the existence and uniqueness of equilibrium is the direct results of this procedure. We obtain the conditions by suitable construction of Lyapunov functionals and estimation of derivates of the Lyapunov functionals by the well-known Young's inequality and Holder's inequality. The proposed conditions are related to p-norms of vector or matrix, p in [1, infinity] and thus unify and generalize some results in the literature.


PMID: 15109682

DOI: 10.1016/j.neunet.2004.01.004

Other references

Levite, D.; Adrian, M.; Tamm, L., 2000: Preliminary results on contents of resveratrol in wine of organic and conventional vineyards. Sample wines (vintage 1997) were taken from both organic and conventional vineyards in 6 sites in W. Switzerland, and samples were analysed for resveratrol using HPLC. Contents of resveratrol varied between 0 and 32.8 ppm depending on variety, loc...

Emeis Kay Christian; Robertson Alastair H.F.; Richter Carl; Blanc Valleron Marie Madeleine; Bouloubassi Ioanna; Brumsack Hans Juergen; Cramp Adrian; de Lange Gerrit Jan; D.S.efano Enrico; Flecker Rachel; Frankel Edgar; Howell Michael W.; Janecek Thomas R.; Jurado Rodriguez Maria Jose; Kemp Alan E.S.; Koizumi Itaru; Kopf Achim; Major Candace O.; Mart Yossi; Pribnow Daniel F.C.; Rabaute Alain; Roberts Andrew P.; Rullkoetter Juergen H.; Sakamoto Tatsuhiko; Spezzaferri Silvia; Staerke, 1996: Site 971. Proceedings of the Ocean Drilling Program, Part A: Initial Reports: Pages 415-450. 1996.

Pena-Valdivia, C.; Bayuelo-Jimenez, J.; Raya-Perez, J., 1994: Does domestication have modified chlorophyll content and chloroplasts traits in common bean pods?. Annual report7(37): 151-152

Cevey, M.; Jequier, D.Ge.E.; Nicod, J.L., 1961: Spontaneous recovery in a case of pseudotumoral bronchopulmonary candidiasis diagnosed by bronchial biopsy. Journal Francais de Medecine et Chirurgie Thoraciques 15: 81-85

Khanna, I.K.; Stealey, M.A.; Weier, R.M., 1997: Heteroaralkyl and heteroarylthioalkyl thiophenolic compounds as 5-lipoxgenase inhibitors. Official Gazette of the United States Patent & Trademark Office Patents 1199(1): 426-427, June 3

Yang, C.Y., 1985: Study on an inactivated antigen of bluetongue virus. Hydroxylamine and propiolactone gave better inactivation than ethyleneimine, but more viral haemagglutination activity was destroyed by the last two. For these reasons, hydroxylamine was selected. Viral antigen inactivated by hydroxylamine was app...

Harrington, R.A.; Heidenreich, P.A., 2016: Team-Based Care and Quality: A Move Toward Evidence-Based Policy. Journal of the American College of Cardiology 66(16): 1813-1815

Kunkel, B.W., 1918: The effects of the ductless glands on the development of the flesh flies. J. Zool. Philadelphia: 255-264

Szaniawski, W., 1977: Electron microscopy in diagnosis of hairy cell leukemia (HCL). Acta Medica Polona 18(4): 391-392

Huang, C.Y.; McLeod, J.G.; Holland, R.T.; Elliot, C., 1976: Tetrabenazine in the treatment of Huntington's chorea. The effectiveness of tetrabenazine in controlling choreic movement in Huntington's chorea has been confirmed in a long-term study. Side effects noted included postural hypotension, dysphagia and pneumonia. Careful supervision of patients taki...