{"product_id":"the-calculus-of-variations-and-optimal-control-an-introduction-mathematical-concepts-and-methods-in-science-and-engineering-24-9781489903358","title":"The Calculus of Variations and Optimal Control An Introduction Mathematical Concepts And Methods In Science And Engineering 24","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eI. 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.","brand":"Springer Us","offers":[{"title":"Default Title","offer_id":51770109985111,"sku":"9781489903358","price":85.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781489903358.jpg?v=1758724281","url":"https:\/\/bookcurl.com\/products\/the-calculus-of-variations-and-optimal-control-an-introduction-mathematical-concepts-and-methods-in-science-and-engineering-24-9781489903358","provider":"Book Curl","version":"1.0","type":"link"}