On reachable sets for linear systems with delay and bounded peak inputs

被引：167

作者：

Fridman, E ^{[1
]}

Shaked, U ^{[1
]}

机构：

[1] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel

来源：

AUTOMATICA | 2003年 / 39卷 / 11期

关键词：

time delays; Lyapunov-Razumikhin function; ellipsoidal state bounding; delay-dependent conditions; LMI;

D O I：

10.1016/S0005-1098(03)00204-8

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Linear systems with constant coefficients and time-varying delays are considered. We address the problem of finding an ellipsoid that bounds the set of the states in the Euclidean space that are reachable from the origin, in finite time, by inputs with peak value that is bounded by a prechosen positive scalar. The system may encounter uncertainties in the matrices of its state space model and in the delay length. The Lyapunov-Razumikhin approach is applied and a bounding ellipsoid is obtained by solving a set of linear matrix inequalities that depend on the upper-bound of the delay length. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：2005 / 2010

页数：6

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