Periodic solution and global exponential stability for shunting inhibitory delayed cellular neural networks

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dc.contributor.authorChen, Anping
dc.contributor.authorCao, Jinde
dc.contributor.authorHuang, Lihong
dc.date.accessioned2021-04-07T13:39:43Z
dc.date.available2021-04-07T13:39:43Z
dc.date.issued2004-02-26
dc.description.abstractFor a class of neural system with time-varying perturbations in the time-delayed state, this article studies the periodic solution and global robust exponential stability. New criteria concerning the existence of the periodic solution and global robust exponential stability are obtained by employing Young's inequality, Lyapunov functional, and some analysis techniques. At the same time, the global exponential stability of the equilibrium point of the system is obtained. Previous results are improved and generalized. Our results are shown to be more effective than the existing results. In addition, these results can be used for designing globally stable and periodic oscillatory neural networks. Our results are easy to be checked and applied in practice.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationChen, A., Cao, J., & Huang, L. (2004). Periodic solution and global exponential stability for shunting inhibitory delayed cellular neural networks. <i>Electronic Journal of Differential Equations, 2004</i>(29), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13348
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectPeriodic solutions
dc.subjectGlobal exponential stability
dc.subjectPoincare mapping
dc.subjectShunting inhibitory delay cellular neural networks
dc.subjectLyapunov functionals
dc.titlePeriodic solution and global exponential stability for shunting inhibitory delayed cellular neural networksen_US
dc.typeArticle

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