Title :
New Legendre type conditions for optimal control problems, linear in the control
Author :
Dmitruk, A.V. ; Milyutin, A.A.
Author_Institution :
Central Econ.-Math. Inst., Moscow, Russia
Abstract :
For singular extremals in the above class of problems conditions of a Pontryagin minimum lead to a new pointwise condition, which we call a condition of Legendre type. It includes not only the second, but also the third variation of Lagrange functions, and require to solve a nontrivial auxiliary optimal control problem. Some cases of its exact solution are presented.
Keywords :
maximum principle; Lagrange functions; Legendre type conditions; Pontryagin minimum; auxiliary optimal control problem; optimal control problems; pointwise condition; singular extremals; Abstracts; Aerospace electronics; Estimation; Linear matrix inequalities; Optimal control; Tensile stress; necessary and s ufficient conditions; quadratic order of estimation; singular extremal; third variation of Lagrange function; weak and Pontryagin minimum;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
