On reachable sets for linear systems with delay and bounded peak inputs
On reachable sets for linear systems with delay and bounded peak inputs
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DOI：
10.1016/s0005-1098(03)00204-8
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发表时间：
2003-11-01
期刊：
影响因子：
6.4
通讯作者：
Shaked, U
中科院分区：
文献类型：
--
作者：
Fridman, E;Shaked, U
考虑了具有常系数和时变时滞的线性系统。我们解决的问题，找到一个椭球体的边界的状态在欧几里得空间中，可从原点，在有限的时间内，由输入的峰值是由一个预先选定的正标量的范围内的集合。系统可能会遇到其状态空间模型的矩阵和延迟长度的不确定性。应用Lyapunov-Razumikhin方法，通过求解一组依赖于延迟长度上界的线性矩阵不等式得到一个有界椭球。(C)2003爱思唯尔有限公司。保留所有权利。
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.