| Title: | Global consensus for discrete-time competitive systems |
| Authors: | Shih, Chih-Wen
曾睿彬
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 |
| DOI 連結: | http://dx.doi.org/10.1016/j.chaos.2007.12.005 |
| Appears in Collections: | [應用數學系] 期刊論文
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