SIAM Journal on Control and Optimization, Volume 59, Issue 1, Page 242-266, January 2021.
The presented paper considers problems of asymptotic, exponential, and uniform exponential stabilizability of discrete time-varying systems. Relations between different types of stabilizability, controllability, and linear-quadratic problem and the Riccati equation for discrete time-varying linear systems are discussed. A few examples illustrating obtained results are presented. At the end, we conclude with a summary of the new results we proved.

中文翻译：

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离散时变系统的镇定

SIAM控制与优化杂志，第59卷，第1期，第242-266页，2021
年1月。本论文考虑离散时变系统的渐近，指数和一致指数稳定性问题。讨论了离散时变线性系统的不同类型的镇定性，可控制性和线性二次问题之间的关系以及Riccati方程。给出了一些示例，说明获得的结果。最后，我们总结了我们证明的新结果。