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Title: Global consensus for discrete-time competitive systems
Authors: Shih, Chih-Wen
Tseng, Jui-Pin
Contributors: 應數系
Date: 2009-07
Issue Date: 2018-12-04 15:43:07 (UTC+8)
Abstract: 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
Data Type: article
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