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＜電子ブック＞
Dynamic Impulse Systems : Theory and Applications / by S.T. Zavalishchin, A.N. Sesekin
(Mathematics and Its Applications ; 394)

版	1st ed. 1997.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1997
本文言語	英語
大きさ	XI, 260 p. 1 illus : online resource
著者標目	*Zavalishchin, S.T author Sesekin, A.N author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematics LCSH:Computer-aided engineering LCSH:Multibody systems LCSH:Vibration LCSH:Mechanics, Applied FREE:Differential Equations FREE:Calculus of Variations and Optimization FREE:Applications of Mathematics FREE:Computer-Aided Engineering (CAD, CAE) and Design FREE:Multibody Systems and Mechanical Vibrations
一般注記	1 Elements of the Theory of Schwartz Distributions -- 2 Equations in Distributions: new approaches -- 3 Applications to Problems of Dynamics and Control -- 4 Applied Control Problems -- 5 Discontinuous Solutions to Ordinary Nonlinear Differential Equations in the Space of Functions of Bounded Variation -- 6 Properties of Attainability Sets for Dynamic Systems with Discontinuous Trajectories -- References 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 above-mentioned directions. The aim of the book is to provide for electrical and mechanical engineers or mathematicians working in applications, a general and systematic treat­ ment of dynamic systems based on up-to-date mathematical methods and to demonstrate the power of these methods in solving dynamics of systems and applied control problems HTTP:URL=https://doi.org/10.1007/978-94-015-8893-5

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