Journal of applied mathematics & informatics
- Volume 23 Issue 1_2
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- Pages.243-256
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
SWEEP METHOD IN ANALYSIS OPTIMAL CONTROL FOR RENDEZ-VOUS PROBLEMS
- Popescu, Mihai (Institute of Mathematical Statistics and Applied Mathematics of the Romanian Academy)
- Published : 2007.01.31
Abstract
This paper deals with determining the sufficient conditions of minimum for the class of problems in which the necessary conditions of optimum are satisfied in the strengthened form Legendre-Clebsch. To this paper, we shall use the sweep method which analysis the conditions of existence of the conjugated points on the optimal trajectory. The study we have done evaluates the command variation on the neighboring optimal trajectory. The sufficient conditions of minimum are obtained by imposing the positivity of the second variation. The results that this method offers are applied to the problem o the orbital rendez-vous for the linear case of the equations of movement.
Keywords
- Sweep variables;
- first differential;
- second differential;
- the admissible comparison path;
- neighboring extremal;
- conjugate point