On optimal parameter selection
- 1 June 1973
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 18 (3) , 313-314
- https://doi.org/10.1109/tac.1973.1100299
Abstract
Pontryagin's results on optimal parameter selection problems [1, p. 193] have been found to contain some errors, as reported in Boltyanskii [2, p. 263] and Hofer and Sagirow [4]. In this note, it is shown that Boltyanskii's results (on optimal parameters) are easily derived from Gamkrelidze's general maximum principle [3], which, in contrast to the former, also yields an explicit solution to the problem in certain special cases.Keywords
This publication has 2 references indexed in Scilit:
- Optimal systems depending on parameters.AIAA Journal, 1968
- On Some Extremal Problems in the Theory of Differential Equations with Applications to the Theory of Optimal ControlJournal of the Society for Industrial and Applied Mathematics Series A Control, 1965