Problems and Methods of Optimal Control
By: by Leonid D. Akulenko
Series: Mathematics and Its Applications -- 286; Mathematics and Its Applications -- 286
Publisher: Springer Netherlands
Published: 1994
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
Number of pages: 344
ISBN-13: 9789401045223; 9789401111942
Subjects: Mathematics; Mathematical optimization; Global analysis (Mathematics); Vibration
Description: 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.
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