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On the existence of piecewise continuous optimal controls
1977
The Journal of the Australian Mathematical Society Series B Applied Mathematics
Preserved Fulltext
Existence of piecewise optimal control is proved when the cost function includes one or both of (a) a cost of sudden switching (discontinuity) of control variables, and (b) a cost associated with the maximum rate of variation of the control over segments of the path for which the control is continuous.
doi:10.1017/s0334270000001429
fatcat:mjqzjej7nffuzjnwswodeof3wy