Criteria for robust stability and stabilization of uncertain linear systems with state delay
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
On the reachable set bounding of uncertain dynamic systems with time-varying delays and disturbances
Information Sciences: an International Journal
| Hi-index | 22.15 |
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.