American Institute of Mathematical Sciences

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2003, 2003(Special): 507-516. doi: 10.3934/proc.2003.2003.507

Optimal control problems with variable endpoints

Bavo Langerock 1,

1. 

SYSTeMS Research Group, Dept. of Electrical Energy, Systems and Automation, Ghent University, Technologiepark-Zwijnaarde 914, 9052 Zwijnaarde, Belgium

Received  September 2002 Published  April 2003

In a previous paper [5] we have proven a geometric formulation of the maximum principle for non-autonomous optimal control problems with fixed endpoint conditions. In this paper we shall reconsider and extend some results from [5] in order to obtain the maximum principle for optimal control problems with variable endpoint conditions. We only consider the case where one of the endpoints may vary, whereas the other is kept fixed.
Keywords: variable endpoints., optimal control theory.
Mathematics Subject Classification: 49Kxx, 53Cx.
Citation: Bavo Langerock. Optimal control problems with variable endpoints. Conference Publications, 2003, 2003 (Special) : 507-516. doi: 10.3934/proc.2003.2003.507
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