Global consensus for discrete-time competitive systems

Title	Global consensus for discrete-time competitive systems
Creator	Shih, Chih-Wen 曾睿彬 Tseng, Jui-Pin
Contributor	應數系
Date	2009-07
Date Issued	4-Dec-2018 15:43:07 (UTC+8)
Summary	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.
Relation	Chaos, Solitons and Fractals, Volume 41, Issue 1, pp.302–310
Type	article
DOI	http://dx.doi.org/10.1016/j.chaos.2007.12.005

dc.contributor	應數系
dc.creator (作者)	Shih, Chih-Wen	en_US
dc.creator (作者)	曾睿彬	zh_TW
dc.creator (作者)	Tseng, Jui-Pin	en_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 systems	en_US
dc.type (資料類型)	article
dc.doi.uri (DOI)	http://dx.doi.org/10.1016/j.chaos.2007.12.005