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Optimal Control
ISBN-13:
9783319497815
Veröffentl:
2017
Seiten:
209
Autor:
Leonid T. Aschepkov
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
This book is based on lectures from a one-year course at the Far Eastern Federal University (Vladivostok, Russia) as well as on workshops on optimal control offered to students at various mathematical departments at the university level. The main themes of the theory of linear and nonlinear systems are considered, including the basic problem of establishing the necessary and sufficient conditions of optimal processes.
NOTATIONS.- PREFACE.- INTRODUCTION.- 1. Subject of optimal control.- 2. Mathematical model of controlled object.- 3. Reachability set.- 4. Controllability of linear systems.- 5. Minimum time problem.- 6. Synthesis of optimal system performance.- 7. The observability problem.- 8. Identification problem.- 9. Types of optimal control problems.- 10. Small increments of a trajectory.- 11. The simplest problem of optimal control.- 12. General optimal control problem.- 13. Sufficient optimality conditions.- CONCLUSION.- APPENDIX.- EXAMPLES OF TASKS AND SOLUTIONS.- LITERATURE.
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