Eventuality synthesis for controlled linear automata

Xia, H. and Pang, Y. and Spathopoulos, M.P. (2002) Eventuality synthesis for controlled linear automata. In: 20th Annual American Control Conference (ACC), 2002-05-08 - 2002-05-10. (https://doi.org/10.1109/ACC.2002.1024797)

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The synthesis of hybrid controllers that satisfy eventuality specifications is studied. Linear automata that accept continuous inputs are considered. The feedback control derivation is based on reachability analysis. A computational procedure for the reachable set, based on Fourier elimination and convexity analysis techniques, is derived. A feedback controller that guarantees the system will visit a given convex target set without violating state constraints is obtained.