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A Course on Optimal Control

Name: A Course on Optimal Control
Brand: Springer, Berlin
SKU: 9783031366574
Price: 297.78 RON
Availability: InStock

Autor: Gjerrit Meinsma, Arjan van der Schaft

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Editura: Springer, Berlin

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This text provides a detailed and self-contained introduction to the core topics of optimal control...

Informații despre carte

Autor

Gjerrit Meinsma, Arjan van der Schaft

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2025

Pagini

276

EAN

9783031366574

Enbook ID

47695417

Editura

Springer, Berlin

Greutate

547

Dimensiuni

178 x 254

Descriere completă

This text provides a detailed and self-contained introduction to the core topics of optimal control for finite-dimensional deterministic dynamical systems. Skillfully designed to guide the student through the development of the subject, the book provides a rich collection of examples, exercises, illustrations, and applications, to support comprehension of the material. Solutions to odd-numbered exercises are included, while a complete set of solutions is available to instructors who adopt the text for their class. The book is adaptable to coursework for final year undergraduates in (applied) mathematics or beginning graduate students in engineering. Required mathematical background includes calculus, linear algebra, a basic knowledge of differential equations, as well as a rudimentary acquaintance with control systems.

The book has developed out of lecture notes that were tested, adapted, and expanded over many years of teaching. Chapters 1-4 constitute thematerial for a basic course on optimal control, covering successively the calculus of variations, minimum principle, dynamic programming, and linear quadratic control. The additional Chapter 5 provides brief views to a number of selected topics related to optimal control, which are meant to peak the reader's interest. Some mathematical background is summarized in Appendix A for easy review. Appendix B recalls some of the basics of differential equations and also provides a detailed treatment of Lyapunov stability theory including LaSalle's invariance principle, as occasionally used in Chapters 3 and 4.

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