Abstract:
The problem considered is the construction of reachability set's internal approximation for a full controllable linear time-invariant system. This approximation is obtained as an intersection of two areas governed by quadratic forms. One of these forms is based on parameters of the system under consideration. The other form is produced by the solution of some linear matrix inequality. The method proposed is illustrated by a numerical example.
Key words:reachability set, linear time-invariant system, linear matrix inequality, internal approximation.
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