Dynamic Impulse Systems - Theory and Applications (Paperback, Softcover reprint of hardcover 1st ed. 1997)

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."

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Mathematics and Its Applications, 394
Release date:	December 2010
First published:	1997
Authors:	S.T. Zavalishchin • A.N. Sesekin
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	260
Edition:	Softcover reprint of hardcover 1st ed. 1997
ISBN-13:	978-90-481-4790-8
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Professional & Technical > Technology: general issues > Technical design > Computer aided design (CAD) Books > Professional & Technical > Mechanical engineering & materials > Materials science > Mechanics of solids > Dynamics & vibration
LSN:	90-481-4790-5
Barcode:	9789048147908

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