The Geometry of the Reachability Set for Linear Discrete-time Systems with Positive Controls
نویسندگان
چکیده
In this paper we study the geometrical properties of the set of reachable states of a single input discrete– time LTI system with positive controls. This set is a cone and it can be expressed as the direct sum of a linear subspace and a proper cone. In order to give a complete geometrical characterization of the reachable set, we provide a formula to evaluate the dimension of the largest reachable subspace and conditions for polyhedrality of the proper cone.
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عنوان ژورنال:
- SIAM J. Matrix Analysis Applications
دوره 28 شماره
صفحات -
تاریخ انتشار 2006