We consider applications of methods from wavelet analysis to optimal control problem for spacecraft dynamics. We present constructions which give explicit in time representations for the controlling and controllable variables in different types of well localized bases for the general classes of functional spaces with sparse representation for the corresponding operators. We also consider the problem of practical realization of the computed solutions and applications to problems of chaotic dynamics.
Russian Academy of Sciences, Institute of Problems of Mechanical
Engineering, V.O., Bolshoj pr., 61,
199178, St. Petersburg, Russia
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