an:04217029
Zbl 0762.34015
Dokuchaev, N. G.
Integral estimates for ordinary differential equations and their application to nonsmooth optimal control problems
RU
Differ. Uravn. 27, No. 10, 1679-1691 (1991).
00158110
1991
j
34C11 34A34 49J15
existence theorems; integral estimates; ordinary differential equation; nonsmooth optimal control; random initial state
Two integral estimates are derived for the solution of the ordinary differential equation \(\dot y(t)=f(y(t),t)\), \(t\in[0,T]\). The estimates are utilized in the problem of nonsmooth optimal control with a random initial state \(y(0)=a\). Existence theorems for optimal control solutions are derived.
J.Ramik (Ostrava)