“…Under the assumptions of a known bound D(x, u) on the dynamics f and a distance measure to the state constraints Xc, the backup controller is used to obtain a future state in the Numerical Examples & Grid-worlds (47,39,52,53,58,54,55,56,61,60,51,88,78,97,73,69,82,99,90,70,80,86,137,110,139) Robot Sim. & Physicsbased RL Environments (64,65,66,40,44,43,142,68,34,36,38,91,85,87,93,37,104,107,123,125,126,130,131,128,…”