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Field name	Details
Dewey Class	515.782
Title	Dynamic Impulse Systems ([EBook]) : Theory and Applications / by S. T. Zavalishchin, A. N. Sesekin.
Author	Zavalishchin, S. T.
Added Personal Name	Sesekin, A. N.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : Springer Netherlands , 1997.
Physical Details	XI, 260 p.ages: 1 illus. : online resource.
Series	Mathematics and its applications ; 394
ISBN	9789401588935
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-015-8893-5
Links to Related Works	Subject References: Applications of Mathematics . Applied mathematics . Calculus of variations . Calculus of variations and optimal control; optimization . Differentiable dynamical systems . Differential Equations . Dynamical Systems . Ordinary differential equations . Schwartz distributions . Vibration . Authors: author . Sesekin, A. N. . Zavalishchin, S. T. . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications . Classification: 515.782 . 515.782 (DDC 22) .

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