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 |  | 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 | doi | https://doi.org/10.1007/978-94-015-8893-5 | isbn_softcover | 978-90-481-4790-8 | isbn_ebook | 978-94-015-8893-5 | copyright | Springer Science+Business Media Dordrecht 1997 |
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