SUBOPTIMAL CONTROL - STEEPEST DESCENT WITH RESPECT TO THE LAGRANGIAN

A new method is presented for the design of suboptimal control, based on the investigation of the behavior of the Lagrangian. The suggested method for the design of suboptimal controls gives the possibility to obtain the analytic solution for a sufficiently large class of problem s in which the objects can be described by linear or nonlinear differe ntial equations; constraints may be imposed on the control. The design ed controls are created according to the feedback principle.