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題名 Global consensus for discrete-time competitive systems
作者 Shih, Chih-Wen
曾睿彬
Tseng, Jui-Pin
貢獻者 應數系
日期 2009-07
上傳時間 4-Dec-2018 15:43:07 (UTC+8)
摘要 Grossberg established a remarkable convergence theorem for a class of competitive systems without knowing and using Lyapunov function for the systems. We present the parallel investigations for the discrete-time version of the Grossberg’s model. Through developing an extended component-competing analysis for the coupled system, without knowing a Lyapunov function and applying the LaSalle’s invariance principle, the global pattern formation or the so-called global consensus for the system can be achieved. A numerical simulation is performed to illustrate the present theory.
關聯 Chaos, Solitons and Fractals, Volume 41, Issue 1, pp.302–310
資料類型 article
DOI http://dx.doi.org/10.1016/j.chaos.2007.12.005
dc.contributor 應數系
dc.creator (作者) Shih, Chih-Wenen_US
dc.creator (作者) 曾睿彬zh_TW
dc.creator (作者) Tseng, Jui-Pinen_US
dc.date (日期) 2009-07
dc.date.accessioned 4-Dec-2018 15:43:07 (UTC+8)-
dc.date.available 4-Dec-2018 15:43:07 (UTC+8)-
dc.date.issued (上傳時間) 4-Dec-2018 15:43:07 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/121202-
dc.description.abstract (摘要) Grossberg established a remarkable convergence theorem for a class of competitive systems without knowing and using Lyapunov function for the systems. We present the parallel investigations for the discrete-time version of the Grossberg’s model. Through developing an extended component-competing analysis for the coupled system, without knowing a Lyapunov function and applying the LaSalle’s invariance principle, the global pattern formation or the so-called global consensus for the system can be achieved. A numerical simulation is performed to illustrate the present theory.en_US
dc.format.extent 142 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Chaos, Solitons and Fractals, Volume 41, Issue 1, pp.302–310
dc.title (題名) Global consensus for discrete-time competitive systemsen_US
dc.type (資料類型) article
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.chaos.2007.12.005