A. Arsenashvili, I. Ramishvili, T. Tadumadze
abstract:
An optimal control problem for variable structure dynamical systems governed by
quasi-linear neutral differential equations with discontinuous initial condition
is considered. The discontinuity of the initial condition means that at the
initial moment the values of the initial function and the trajectory, generally
speaking, do not coincide. Necessary conditions of optimality are obtained: for
the optimal control and the initial function in the form of integral maximum
principle; for the optimal initial, final and structure changing moments in the
form of equalities and inequalities containing discontinuity effects. Besides, a
variable structure neutral time-optimal linear problem of economical character
is investigated.
Mathematics Subject Classification: 49K25, 34K35, 34K40
Key words and phrases: Neutral systems, optimal control, necessary conditions, variable structure systems, discontinuous initial condition