Simple and Weak ∆-invariant Polyhedral Sets for Discrete-time Singular Systems

@inproceedings{Castelan2003SimpleAW,
  title={Simple and Weak ∆-invariant Polyhedral Sets for Discrete-time Singular Systems},
  author={Eug{\^e}nio B. Castelan and Sophie Tarbouriech},
  year={2003}
}
In this paper, necessary and sufficient conditions for the positive invariance of convex polyhedra with respect to linear discrete-time singular systems subject to bounded additive disturbances are established. New notions of ∆-invariance under different assumptions on the initial conditions are defined. Specifically, the notions of simple and weak ∆invariance are considered. They can be seen as extensions of the ∆-positive invariance concept used for the regular linear systems with additive… CONTINUE READING