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Time reparameterization in problems of optimal control of impulsive hybrid systems

Time reparameterization in problems of optimal control of impulsive hybrid systems,10.1134/S1064230711020055,Journal of Computer and Systems Sciences

Time reparameterization in problems of optimal control of impulsive hybrid systems  
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We consider an optimal control problem for a hybrid dynamic system, where jumps of a trajectory may occur only at the moments of hitting a given closed subset of an extended phase space. A time reparameterization technique is developed to reduce the original problem to the one with bounded controls. We show that the reparameterized problem is equivalent to optimization in a class of generalized solutions to the hybrid system.
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