Abstract
A linear time-invariant discrete system with a single bounded control input is considered. Various types of constraints imposed on the control input are investigated. The set of system states that can be reached from the origin (reachable set) is studied. The set of system states from where the origin can be reached (null-controllable set) is studied as well. Various examples are presented.
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Formalsky, A.M., Sirotin, A.N. On the Geometric Properties of Reachable and Controllable Sets for Linear Discrete Systems. Journal of Optimization Theory and Applications 122, 257–284 (2004). https://doi.org/10.1023/B:JOTA.0000042521.51456.01
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DOI: https://doi.org/10.1023/B:JOTA.0000042521.51456.01