Dynamic Impulse Systems : Theory and Applications / by S.T. Zavalishchin, A.N. Sesekin.

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...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Zavalishchin, S. T.
Other Authors: Sesekin, A. N.
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands, 1997.
Series:Mathematics and its applications (Springer Science+Business Media) ; 394.
Subjects:

MARC

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505 0 |a 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. 
520 |a 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. 
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