On the existence of piecewise continuous optimal controls

1 June 1977

journal article
research article
Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics

Vol. 20 (1) , 31-37
https://doi.org/10.1017/s0334270000001429

Abstract

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.

Keywords

FUNCTION
PIECEWISE
DISCONTINUITY
PATH
SEGMENTS
SWITCHING
SUDDEN
CONTROLS EXISTENCE
CONTINUOUS OPTIMAL

This publication has 2 references indexed in Scilit:

Preface
Published by Elsevier ,1969
An Existence Theorem in Problems of Optimal Control
Journal of the Society for Industrial and Applied Mathematics Series A Control, 1965