A new approach to state bounding for linear time-varying systems with delay and bounded disturbances
A new approach to state bounding for linear time-varying systems with delay and bounded disturbances
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DOI：
10.1016/j.automatica.2014.04.025
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发表时间：
2014-06-01
期刊：
影响因子：
6.4
通讯作者：
Hieu Minh Trinh
中科院分区：
文献类型：
--
作者：
Le Van Hien;Hieu Minh Trinh
本文首次研究了具有时滞和有界扰动输入的线性时变系统的状态有界问题。通过使用一种不涉及Lyapunov-Krasovskii泛函方法的新方法，得到了球存在的新的显式时滞无关条件，使得系统的所有状态轨迹在球内指数收敛。最后给出了一个数值算例，说明了所得结果的有效性。(C)2014爱思唯尔有限公司。保留所有权利。
In this note, the problem of state bounding for linear time-varying systems with delay and bounded disturbances input is considered for the first time. By using a novel approach which does not involve the Lyapunov-Krasovskii functional method, new explicit delay-independent conditions are derived for the existence of a ball such that all the state trajectories of the system converge exponentially within it. A numerical example is given to illustrate the effectiveness of the obtained result. (C) 2014 Elsevier Ltd. All rights reserved.