In this paper, we show that for discrete time-varying linear control systems uniform complete controllability implies arbitrary assignability of dichotomy spectrum of closed-loop systems. This result significantly strengthens the result in [5] about arbitrary assignability of Lyapunov spectrum of discrete time-varying linear control systems.

中文翻译：

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离散时变线性控制系统的二分谱的可分配性

在本文中，我们表明，对于离散时变线性控制系统，统一的完全可控性意味着闭环系统二分谱的任意可分配性。此结果显着增强了[5]关于离散时变线性控制系统的李雅普诺夫频谱的任意可分配性。