離散時間型競爭系統的全局一致性

Abstract

本論文討論一個離散時間型競爭系統，我們的興趣在於這個系統如何達到全局一致性。不用 Lyapunov 函數，而使用分析的討論去推論出隨著時間趨近於無限，每個解的軌跡收斂到某個定值 。

A discrete-time competitive system is studied. We are interested in how the dynamics of the system reach global consensus. Analytical arguments are developed to conclude that every orbit converges to a point as time tends to infinity, without knowing a Lyapunov function.