Abstract
Two optimal control problems in the class of inertial controls (continuous controls of bounded values and rates) are investigated: the first is the optimal excitation of dynamic systems and the related design of attainability sets and the second is a linear optimal control problem with terminal constraints. They are solved by a dynamic adaptive linear programming method. First, open-loop solutions are constructed and then an algorithm for the optimal controller for the linear optimal control problem is designed, which in real time generates current optimal feedback. Examples are given to illustrate the results.
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