Abstract
Publisher Summary This chapter presents the method for determining the switching criterion that is similar to the method of backing out from the origin, which has been used in special case. When G contains more than one point solutions, they are backed out from boundary points of G restricting solutions so that they satisfy the transversality condition at the boundary of G. The maximum principle of Pontryagin and a transversality condition are used to obtain extremal solutions for the problem P. Points on the optimal solution curves in phase–space where the control function changes sign can be determined. These points together with the boundary of G form a switching surface. This provides the desired switching criterion for time-optimal control.
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