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On the existence of piecewise continuous optimal controls

Published online by Cambridge University Press:  17 February 2009

E. S. Noussair
E. S. Noussair
Affiliation:
School of Mathematics, University of New South Wales, Sydney, N.S.W., 2033, Australia
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Abstract

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 20 , Issue 1 , June 1977 , pp. 31 - 37
Copyright
Copyright © Australian Mathematical Society 1977

References

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