عنوان

Problems and Methods of Optimal Control

9401111944

9789401111942

b594820

Problems and Methods of Optimal Control

[Book]

by Leonid D. Akulenko.

Dordrecht

Springer Netherlands

1994

(xv, 344 pages)

Mathematics and Its Applications, 286.

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.

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.

Global analysis (Mathematics)

Mathematical optimization.

Mathematics.

by Leonid D. Akulenko.

Leonid D Akulenko

[Book]

Y