Existence and exponential stability of periodic solution for continuous-time and discrete-time generalized bidirectional neural networks

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dc.contributor.authorLi, Yongkun
dc.date.accessioned2021-07-15T18:52:23Z
dc.date.available2021-07-15T18:52:23Z
dc.date.issued2006-03-16
dc.description.abstractWe study the existence and global exponential stability of positive periodic solutions for a class of continuous-time generalized bidirectional neural networks with variable coefficients and delays. Discrete-time analogues of the continuous-time networks are formulated and the existence and global exponential stability of positive periodic solutions are studied using the continuation theorem of coincidence degree theory and Lyapunov functionals. It is shown that the existence and global exponential stability of positive periodic solutions of the continuous-time networks are preserved by the discrete-time analogues under some restriction on the discretization step-size. An example is given to illustrate the results obtained.
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLi, Y. (2006). Existence and exponential stability of periodic solution for continuous-time and discrete-time generalized bidirectional neural networks. <i>Electronic Journal of Differential Equations, 2006</i>(32), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13905
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectBidirectional neural networks
dc.subjectGlobal exponential stability
dc.subjectPeriodic solution
dc.subjectFredholm mapping
dc.subjectLyapunov functionals
dc.subjectDiscrete-time analogues
dc.titleExistence and exponential stability of periodic solution for continuous-time and discrete-time generalized bidirectional neural networks
dc.typeArticle

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