Reachable sets with unit-energy inputs; Diagonal Norm-bound uncertaintyEdit
A Reachable set is a set of system States reached under the condition . On this page we will look at the problem of finding an controller , that - reachable set.
In case of Diagonal Norm-bound uncertainty, we have:
The matrices .
The reachable set can be defined:
The Optimization ProblemEdit
The following optimization problem should be solved:
This LMI allows us to investigate stability for the robust control problem in the case of polytopic uncertainty and gives on the controller for this case
-  - Matlab implementation using the YALMIP framework and Mosek solver
A list of references documenting and validating the LMI.
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