Among the problems of Adaptive Terminal Control, one of the most important is the problem of control of acceleration process of moving objects. Two cases are discussed: Control with arbitrary terminal acceleration and control with certain value of terminal acceleration. The control law functions are obtained and analysis of the both process is represented. The obtained results can be used for practical purposes to elaborate simple control algorithms.Terminal Control, Moving Objects, Boundary Problems, Adaptive Control, Reduction, Acceleration, Transient Process
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