When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea she was welcomed by a local chieftain. He offered her all the land that she could enclose between the shoreline and a rope of knotted cowhide. While the legend does not tell us, we may assume that Princess Dido arrived at the correct solution by stretching the rope into the shape of a circular arc and thereby maximized the area of the land upon which she was to found Carthage. This story of the founding of Carthage is apocryphal. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources; however, those most useful to me have been the books of Oskar Bolza and of George M. Ewing. Part II is devoted to the elementary aspects of the modern extension of the calculus of variations, the theory of optimal control of dynamical systems.

Contenuti:

I. Calculus of Variations.- 1. Introduction.- 2. Problem Statement and Necessary Conditions for an Extremum.- 3. Integration of the Euler—Lagrange Equation.- 4. An Inverse Problem.- 5. The Weierstrass Necessary Condition.- 6. Jacobi’s Necessary Condition.- 7. Corner Conditions.- 8. Concluding Remarks.- II. Optimal Control.- 9. Introduction.- 10. Problem Statement and Optimality.- 11. Regular Optimal Trajectories.- 12. Examples of Extremal Control.- 13. Some Generalizations.- 14. Special Systems.- 15. Sufficient Conditions.- 16. Feedback Control.- 17. Optimization with Vector-Valued Cost.- References.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Descrizione libreria

Hello! Ria Christie Collections is an online venture that was initially set up in 2012 to sell books. We do not have a physical high street store. We are professional online booksellers. We only sell brand new books in perfect condition that we source from various suppliers and the publishers. Primarily, our aim is to provide an excellent service to all our customers. We always work as a team to achieve this. Our other objectives are to: 1. Ensure that all our products reach their destination quickly in a safe and secure manner 2. Answer to all our customer queries within 24 hours 3. Ensure that our customers are happy with their purchases 4. Provide all the items at a competitive price 5. Always listen to our customers Ria Christie Collections is not a registered company. It is a Sole Trader venture. Other key information is shown below: Contact Person Name: Rakesh Luchmun (Mr) Storefront Name: Ria Christie Collections Place of Establishment Address: Suite B; ARUN House; ARUN Building Arundel Road Uxbridge UB8 2RR United Kingdom E-Mail Address: riachristie@hotmail.co.uk VAT Number: GB 160 5650 25 We always work hard and aim to comply with all of Abebooks Policies. If you have any issues, please do not hesitate to write to us whether before or after a purchase. We promise to reply to you promptly and, in any case, within 24 hours. Thank you kindly! Yours sincerely Mr Rakesh Luchmun (Founder) and the Ria Christie Collections Team

Visita la pagina della libreria

Informazioni sull?azienda del venditore

Ryefield Investments Limited
175 Pield Heath Road, Uxbridge, UB8 3NL, United Kingdom

Condizioni di vendita:

All Returns and Refund are as per Abebooks policies.

Condizioni di spedizione:

Orders usually ship within 2 business days. If your book order is heavy or oversized, we may contact you to let you know extra shipping is required. Thank you!

Metodi di pagamento
accettati dalla libreria

Aggiungi ai desiderata

Articoli correlati a The Calculus of Variations and Optimal Control: An...

The Calculus of Variations and Optimal Control: An Introduction (Mathematical Concepts and Methods in Science and Engineering)

Leitmann, George

Nuovi - Brossura

Informazioni sull?azienda del venditore