The Generalized Solutions of Ordinary Diierential Equations in the Impulse Control Problems
نویسندگان
چکیده
The paper is devoted to the problems of an impulse control for the systems, whose dynamic is described by ordinary nonlinear differential equations. The problem of description for a discontinuous solution, arising from the using of an impulse control, is considered. The representation of the discontinuous (generalized) solutions is obtained on the basis of the method of a discontinuous time change. The problem of an impulse control is also considered. An existence theorem for the generalized optimization problem is proved.
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