ABSTRACT

Up to this point, we have studied problems of optimal programming which the control engineer would call optimal “open loop” control. We have aimed at obtaining the optimal control function†, u(t), starting from one given initial state, x(t0), at the time t0 and proceeding to a terminal hypersurface defined by the terminal constraints ψ [ x ( t f ) , t f ] = 0 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315137667/ebc3ad23-d2ed-4b59-a8e1-8861837bea7d/content/eq930.tif"/> .