Abstract
In this paper, we investigates a simple discrete-time model, which produces the winner-take-all competition. The local and global stability of the model are both proven theoretically. Simulations are conducted for both the static competition and the dynamic competition scenarios. The numerical results validate the theoretical results and demonstrate the effectiveness of the model in generating winner-take-all competition.
Original language | English |
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Pages (from-to) | 1569-1575 |
Number of pages | 7 |
Journal | Applied Mathematics and Computation |
Volume | 219 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Nov 2012 |
Externally published | Yes |
Keywords
- Discrete-time system
- Dynamic feedback
- Nonlinear
- Winner-take-all
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics