An algorithm to find a polyhedral approximant to the maximal state constraint set, given state and input bounds, is suggested for linear discrete-time dynamical systems.

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Gutman et al. (Sun,) studied this question.

synapsesocial.com/papers/6a1c004c5b8f4ede65a95f96 https://doi.org/https://doi.org/10.1109/tac.1987.1104567

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1Control systems of variable structure1976 · 917 citations
2Admissible sets and feedback control for discrete-time linear dynamical systems with bounded controls and states1984 · 8 citations
3Extension of validity of GRG method in optimal control calculation1976 · 11 citations
4An optimal control approach to dynamic routing in networks1982 · 119 citations
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Control systems of variable structure1976 · 917 citations
2Admissible sets and feedback control for discrete-time linear dynamical systems with bounded controls and states1984 · 8 citations
3Extension of validity of GRG method in optimal control calculation1976 · 11 citations
4An optimal control approach to dynamic routing in networks1982 · 119 citations
5A remark on reachable sets of linear systems1972 · 8 citations