Entering the stop-constrained mode is only allowed if for sufficiently large valuesof the indeterminate s the above two expressions are nonnegative (see (3.26)). Thisrequires x30 0 and x40 0. This indeed corresponds to the indicated area forthe stop-constrained mode in figure 3.5. Note that the polynomial parts of u1 and u2equal −x30 and 0, respectively. Hence, uimp D .−x30; 0/> for the correspondinginitial solution .u; x; y/. According to (3.10), the state jump equals B.−x30; 0/> D.0; 0; −x30; 0/>. This agrees with the direction of the arrows in figure 3.5. Similarly,the other modes and re-initialization directions can be verified.
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