Dynamic Impulse Systems: Theory and Applications by S.T. ZavalishchinDynamic Impulse Systems: Theory and Applications by S.T. Zavalishchin

Dynamic Impulse Systems: Theory and Applications

byS.T. Zavalishchin, A.N. Sesekin

Paperback | December 15, 2010

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This book provides a general and systematic treatment of dynamic systems. Based on up-to-date mathematical methods, including distribution theory, it demonstrates the power of these methods in solving dynamics of systems and applied control problems. First, new approaches to the construction problem of the general theory of linear dynamic systems are suggested. Then a new theory of differential equations with nonlinear operations over impulse input actions is developed. Finally, some singular optimization problems are treated on the subject of the mechanics of space flight, the motion transport manipulators in a viscous medium, quantum physics and economics. Audience: This volume will be of interest to electrical and mechanical engineers, as well as to applied mathematicians, whose work involves ordinary differential equations, control and optimization, circuit synthesis, or dynamics and vibration.
Title:Dynamic Impulse Systems: Theory and ApplicationsFormat:PaperbackDimensions:271 pagesPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048147905

ISBN - 13:9789048147908

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Table of Contents

Preface. 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 Non-Linear Differential Equations in the Space of Functions of Bounded Variation. 6. Properties of Attainability Sets for Dynamic Systems with Discontinuous Trajectories. References. Index.

Editorial Reviews

` ... is very well written and contains enough mathematical detail to permit the reader unfamiliar with the subject to quickly get up to speed in this important area of current research. Being unique in the field, the book is srongly recommended both for individual researchers in control systems and for the libraries.' Applied Mechanics Reviews, 51:6 (1998)