Problems and Methods of Optimal Control

Problems and Methods of Optimal Control

by L.D. Akulenko, L. D. Akulenko
     
 

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This volume is devoted to a systematic presentation of constructive analytical perturbation methods relevant to optimal control problems for nonlinear systems. Chapter 1 deals with the averaging method for optimal control problems of quasilinear oscillatory systems with slowly-varying parameters. In Chapter 2, asymptotic methods for solving boundary-value problems

Overview

This volume is devoted to a systematic presentation of constructive analytical perturbation methods relevant to optimal control problems for nonlinear systems. Chapter 1 deals with the averaging method for optimal control problems of quasilinear oscillatory systems with slowly-varying parameters. In Chapter 2, asymptotic methods for solving boundary-value problems are considered. The averaging method for nonlinear rotatory—oscillatory systems is developed in Chapters 3 and 4. The methods developed in the first four chapters are applied to some mechanical systems of practical interest in the following two chapters. Small parameter techniques for regularly perturbed systems having an invariant norm are developed in Chapter 7. The final chapter considers new approaches and studies some other aspects of perturbation theory consistent with the analysis of controlled systems.
For applied mathematicians and engineers interested in applied problems of dynamic systems control.

Editorial Reviews

Booknews
Akulenko (mechanics, Russian Academy of Sciences, Moscow) presents constructive analytical perturbation methods relevant to optimal control problems for nonlinear systems. Among them are the averaging method for quasilinear oscillatory systems with slowly varying parameters and for nonlinear rotary-oscillatory systems, asymptotic methods for boundary-value problems, and small parameter techniques for regularly perturbed systems with an invariant norm. He also demonstrates applications to pendulum- type systems and to the orbital motions and rotations of spacecraft. Addressed to mathematicians and engineers. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN-13:
9789401045223
Publisher:
Springer Netherlands
Publication date:
12/31/2013
Series:
Mathematics and Its Applications (closed) Series , #286
Edition description:
Softcover reprint of the original 1st ed. 1994
Pages:
344
Product dimensions:
6.30(w) x 9.45(h) x 0.03(d)

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