Zurab Tsintsadze
abstract:
The Lagrange principle of taking restrictions off is proved for the
problems of conditional minimization in infinite-dimensional spaces when the
function to be
minimized and the mapping specifying the restrictions of the problem
satisfy certain convexity and continuity conditions.
On the basis of the obtained result, necessary conditions of
optimality are derived in terms of an analogue of Pontryagin's maximum
principle for some classes of linear problems of optimal control when mixed
restrictions and delays take place.
Mathematics Subject Classification: 49K25.
Key words and phrases: A functional, restrictions, conditions of convexity, minimization, optimal control, delay.