Abstract
We consider a class impulse optimal control problems in which the controls are represented by vector measures, trajectories are functions of bounded variation and are interpreted as robust solutions of the nonlinear dynamic system, and terminal constraints are contained. For such problems a Maximum Principle and second order necessary optimality conditions are presented. The examined measure is discontinuous at a finite number of times and has no the continuous singular component. The approach of investigation based on an interpretation of the impulse optimal control problem as a specific optimal multiprocesse problem.
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