Open Journal of Optimization

Volume 4, Issue 3 (September 2015)

ISSN Print: 2325-7105   ISSN Online: 2325-7091

Google-based Impact Factor: 0.56  Citations  

A Maximum Principle for Smooth Infinite Horizon Optimal Control Problems with State Constraints and with Terminal Constraints at Infinity

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DOI: 10.4236/ojop.2015.43012    3,308 Downloads   4,806 Views  Citations
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ABSTRACT

Necessary conditions for optimality are proved for smooth infinite horizon optimal control problems with unilateral state constraints (pathwise constraints) and with terminal conditions on the states at the infinite horizon. The aim of the paper is to obtain strong necessary conditions including transversality conditions at infinity, which in many cases lead to a set of candidates for optimality containing only a few elements, similar to what is the case in finite horizon problems. However, strong growth conditions are needed for the results to hold.

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Seierstad, A. (2015) A Maximum Principle for Smooth Infinite Horizon Optimal Control Problems with State Constraints and with Terminal Constraints at Infinity. Open Journal of Optimization, 4, 100-130. doi: 10.4236/ojop.2015.43012.

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