On the existence of piecewise continuous optimal controls

E. S. Noussair
1977 The Journal of the Australian Mathematical Society Series B Applied Mathematics  
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