Paper derives set of necessary conditions for singular arcs; classical Weierstrass and Legendre tests as well as maximum principle fail to determine nature of extremal path; second variation of function to be minimized is evaluated for defined control variations; dominant term of power series in tau, parameter of control variation which is allowed to approach zero in limit, is calculated and examined for semidefiniteness; should this term be zero for particular problem, new control variation is chosen and procedure repeated; results of analysis are applied to problem of rocket flight in inverse square law field.
Necessary conditions for singular extremals
AIAA J
AIAA Journal ; 3 , n 8
1965
6 pages
Article (Journal)
English
© Metadata Copyright Elsevier B. V. All rights reserved.
Necessary conditions for singular extremals
AIAA | 1965
|Necessary conditions for singular extremals
AIAA | 1965
|A second variation test for singular extremals
AIAA | 1964
|