On reachable sets for linear systems with delay and bounded peak inputs
نویسندگان
چکیده
Linear systems with constant coe0cients and time-varying delays are considered. We address the problem of 4nding an ellipsoid that bounds the set of the states in the Euclidean space that are reachable from the origin, in 4nite 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. ? 2003 Elsevier Ltd. All rights reserved.
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عنوان ژورنال:
- Automatica
دوره 39 شماره
صفحات -
تاریخ انتشار 2003