Abstract
We consider the problem of optimization of integral functional along to the trajectories of linear system with bounded resource of control. The necessary condition for definition of optimal control is found. The formula for optimum result in a problem of minimization of the maximal deviation of a controlled trajectory from the set is received. Also we study the problems of minimizing of weighed and terminal functionals and sufficient conditions of an optimality in this problems.Various problems of optimal control with restrictions on a resource of control were considered in [1, 2, 3, 4, 5]. The problems of minimization similar investigated here, but at instant restrictions, were investigated in [6], and in discrete statement in [7].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
