學術產出-期刊論文
| 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 | 4-十二月-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-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 | 4-十二月-2018 15:43:07 (UTC+8) | - |
| dc.date.available | 4-十二月-2018 15:43:07 (UTC+8) | - |
| dc.date.issued (上傳時間) | 4-十二月-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 |