Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419074 | Journal of Mathematical Analysis and Applications | 2012 | 18 Pages |
Abstract
We consider a general class of infinite-horizon optimization problems, where the phase space is a two dimensional manifold satisfying the Jordan curve theorem, and the set of feasible curves satisfies general conditions similar to, but weaker than the solution set of a control system. We verify the existence of an optimal periodic solution for this class of problems. Applying this result we obtain two new results: we generalize a previous result for discounted infinite-horizon control problems, and provide a Poincaré-Bendixson type result for continuous generalized semi-flows.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ido Bright,