Referenced Items are not available for this document.
This technical note gives a method for calculating the first and second derivatives of a cost function with respect to switching times for systems with piecewise second-differentiable dynamics. Differential equations governing the linear and bilinear operators required for calculating the derivatives are presented. Example optimizations of linear and nonlinear systems are presented as evidence for the value of second-order optimization methods. One example converges in 33 iterations using second-order methods whereas the first-order algorithm requires over 30 000 iterations.
Published in:
Automatic Control, IEEE Transactions on
(Volume:56
,
Issue:
8
)
Date of Publication: Aug. 2011
- Page(s):
- 1953 - 1957
- ISSN :
- 0018-9286
- INSPEC Accession Number:
- 12205241
- Digital Object Identifier :
- 10.1109/TAC.2011.2150310
- Product Type:
- Journals & Magazines
- Date of Publication :
- 10 May 2011
- Date of Current Version :
- 01 August 2011
- Issue Date :
- Aug. 2011
- Sponsored by :
- IEEE Control Systems Society
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