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Titlebook: Dynamic Impulse Systems; Theory and Applicati S. T. Zavalishchin,A. N. Sesekin Book 1997 Springer Science+Business Media Dordrecht 1997 con

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书目名称Dynamic Impulse Systems
副标题Theory and Applicati
编辑S. T. Zavalishchin,A. N. Sesekin
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Dynamic Impulse Systems; Theory and Applicati S. T. Zavalishchin,A. N. Sesekin Book 1997 Springer Science+Business Media Dordrecht 1997 con
描述A number of optimization problems of the mechanics of space flight and the motion of walking robots and manipulators, and of quantum physics, eco­ momics and biology, have an irregular structure: classical variational proce­ dures do not formally make it possible to find optimal controls that, as we explain, have an impulse character. This and other well-known facts lead to the necessity for constructing dynamical models using the concept of a gener­ alized function (Schwartz distribution). The problem ofthe systematization of such models is very important. In particular, the problem of the construction of the general form of linear and nonlinear operator equations in distributions is timely. Another problem is related to the proper determination of solutions of equations that have nonlinear operations over generalized functions in their description. It is well-known that "the value of a distribution at a point" has no meaning. As a result the problem to construct the concept of stability for generalized processes arises. Finally, optimization problems for dynamic systems in distributions need finding optimality conditions. This book contains results that we have obtained in the ab
出版日期Book 1997
关键词construction; differential equation; mechanics; optimization; ordinary differential equation; vibration; o
版次1
doihttps://doi.org/10.1007/978-94-015-8893-5
isbn_softcover978-90-481-4790-8
isbn_ebook978-94-015-8893-5
copyrightSpringer Science+Business Media Dordrecht 1997
The information of publication is updating

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Properties of Attainability Sets for Dynamic Systems with Discontinuous Trajectories,rs and a control resource. Although such a set may consist of discontinuous trajectories, it turns out to be continuous as a multivalued mapping defined on [.., .]. The connectedness property for attainability sets is proven. Some methods to determine such sets are presented. For a particular class
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value of a distribution at a point" has no meaning. As a result the problem to construct the concept of stability for generalized processes arises. Finally, optimization problems for dynamic systems in distributions need finding optimality conditions. This book contains results that we have obtained in the ab978-90-481-4790-8978-94-015-8893-5
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Book 1997ics and biology, have an irregular structure: classical variational proce­ dures do not formally make it possible to find optimal controls that, as we explain, have an impulse character. This and other well-known facts lead to the necessity for constructing dynamical models using the concept of a ge
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