سال انتشار: ۱۳۸۶

محل انتشار: سی و هشتمین کنفرانس ریاضی ایران

تعداد صفحات: ۴

نویسنده(ها):

KAMIL B.MANSIMOV – Baku State University, Z. Khalilov 23. AZ1148 Baku, Azerbayejan
RASHAD O.MOSTALIEV – Anas Cybernetics Institute, Baku, Azerbayejan

چکیده:

consider a problem on minimizing the functional
(1)S0(u)= φ۰(z9t1)).
At constraints
(2)u(t) Є u ⊂ Rr, tЄT = {t0, t0+1,…,t1-1},
(3)Si(u)= φi(z(t1)) ≤۰,i= 1,p
Here u(t) is a r-dimensional vector of control actions, U is given non-empty and bonded set, z(t) is a n-dimensional vector of phase variables.
In the perport first order necessary optimality condition of Pontryagins principle of maximum type has been obtained at some assumptions, and then a case of singular controls has been studied.