Converse stability theorems for positive linear time-varying systems
Converse stability theorems for positive linear time-varying systems
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DOI：
10.1016/j.automatica.2020.109193
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发表时间：
2020-08
期刊：
影响因子：
--
通讯作者：
Yutaka Kawano
中科院分区：
文献类型：
--
作者：
Yutaka Kawano
本文对正线性时变系统进行了分析。首先，我们证明了渐近（指数）稳定性的一个逆Lyapunov定理。其次，作为控制系统的性质，给出了1诱导（∞诱导）系统范数小于给定正常数的充分必要条件。
In this paper, we proceed with analysis of positive linear time-varying systems. First, we prove a converse Lyapunov theorem for asymptotic (exponential) stability. Next, as properties of control systems, we provide a necessary and sufficient condition for that the 1-induced (∞-induced) system norm is lower than a given positive constant.