Mathematics and Its Applications

Theory and Applications

By: S.T. Zavalishchin, A.N. Sesekin

Write A Review

Hardcover | 28 February 1997

At a Glance

Hardcover
276 Pages

Dimensions(cm)
25.4 x 17.15 x 2.54

Hardcover

$229.99

or 4 interest-free payments of $57.50 with

Ships in 5 to 7 business days

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.

Industry 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)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $0.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

Other Editions and Formats

Paperback

Published: 15th December 2010

View Product

Preface
Elements of the Theory of Schwartz Distributions	p. 1
Equations in Distributions: new approaches	p. 15
Applications to Problems of Dynamics and Control	p. 85
Applied Control Problems	p. 133
Discontinuous Solutions to Ordinary Non-Linear Differential Equations in the Space of Functions of Bounded Variation	p. 179
Properties of Attainability Sets for Dynamic Systems with Discontinuous Trajectories	p. 231
References	p. 248
Index	p. 255
Table of Contents provided by Blackwell. All Rights Reserved.

Mathematics and Its Applications

Theory and Applications

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Dynamics & Vibration

Engineering Mechanics: Dynamics, SI Units

Global Edition

Building Acoustics and Noise Control Engineering

Identification and Control in Rotor Systems

Volume 2

Shaft Alignment Handbook

Mechanical Engineering

Analysis of Rotor Systems

Volume 1

Active In-Wheel Suspension System Design for On-Road Vehicles

Ultrasonic Tomography Approaches and Applications

Impact Dynamics

A Numerical Approach

Vibration Control of Vehicle Suspension Systems

1st Edition

Practical Machinery Vibration Analysis and Predictive Maintenance

Practical Professional

Green Tribology and Industry 4.0

Fundamentals and Sustainable Advancements

Isogeometric Analysis and Non-Polynomial Enrichment for Finite Element Methods in Acoustics

Digital Twin for Gear Wear Monitoring and Prediction

Multi-scale and Multi-physics Simulation of Fracture and Fatigue

Plasma Spraying : Theory and Applications

Theory and Applications

Symplectic Twist Maps

Advanced Series in Nonlinear Dynamics

Non-Destructive Testing Vol. 4 : Acoustic Wave Propagation and Scattering

Acoustic Wave Propagation and Scattering

Advanced Topics in Nonlinear Control Systems

World Scientific Series on Nonlinear Science, Series A

Constrained Dynamics Computations : Models and Case Studies

Models and Case Studies

Structural Stability and Dynamics V1 : Proceedings of the 2nd International Conference, Singapore, 16-18 December 2002

Proceedings of the 2nd International Conference, Singapore, 16-18 December 2002

Spatial Control of Vibration : Theory and Experiments

Theory and Experiments

Nonlinear Dynamics : From Lasers to Butterflies

From Lasers to Butterflies

Constrained Control Problems of Discrete Processes

Series on Advances in Mathematics for Applied Sciences

Primer on Optimal Control Theory

Advances in Design and Control

This product is categorised by