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. This text is suitable for applied mathematicians and engineers interested in applied problems of dynamic systems control.

Full Product Details

Author:   L.D. Akulenko
Publisher:   Springer
Imprint:   Springer
Edition:   1994 ed.
Volume:   286
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.796kg
ISBN:  

9780792328551

ISBN 10:   0792328558
Pages:   344
Publication Date:   31 May 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1. Averaging Method in Optimal Control Problems for Quasilinear Oscillatory Systems.- 2. The Foundation of Asymptotic Methods for Controlled Quasilinear Systems and Some Generalizations.- 3. Averaging Method in Optimal Control Problems for Single-Frequency Essentially Nonlinear Systems.- 4. The Foundation of Asymptotic Methods of the Separation of Motions in Essentially Nonlinear Controlled Systems.- 5. Control of Motions of “Pendulum-Type” Systems.- 6. Optimal Control of Orbital Motions and Rotations of Spacecrafts Using “Low Thrust”.- 7. Approximate Synthesis of Optimal Control for Perturbed Systems with Invariant Norm.- 8. Other Prospects for Developing Methods of Optimal Control Synthesis.- References.- Key Index.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions