Global consensus for discrete-time competitive systems

Chih-Wen Shih*, Jui P. Tseng

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish
Pages (from-to)302-310
Number of pages9
JournalChaos, Solitons and Fractals
Issue number1
StatePublished - 15 Jul 2009

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