Differential dynamic programming: Difference between revisions

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| journal = Int J Control
| date = 1966
| doi = 10.1080/00207176608921369
}}</ref> and subsequently analysed in Jacobson and Mayne's eponymous book<ref>{{cite book|last=Mayne|first= David H. and Jacobson, David Q.|title=Differential dynamic programming|year=1970|publisher=American Elsevier Pub. Co.|___location=New York|isbn=0444000704|url=http://books.google.com/books/about/Differential_dynamic_programming.html?id=tA-oAAAAIAAJ}}</ref>. The algorithm uses locally-quadratic models of the dynamics and cost functions, and displays [[Rate of convergence|quadratic convergence]]. It is closely related to Pantoja's step-wise Newton's method<ref>{{Cite journal
| doi = 10.1080/00207178808906114
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| volume = 47
| issue = 5
| pages = 1539-15531539–1553
| last = de O. Pantoja
| first = J. F. A.
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| journal = IEEE Transactions on Automatic Control
| date = 1991
| doi = 10.1109/9.86943
}}
</ref>