{"product_id":"optimal-control-theory-an-introduction-9780486434841","title":"Optimal Control Theory: An Introduction","description":"\u003cp\u003eOptimal control theory is the science of maximizing the returns from and minimizing the costs of the operation of physical, social, and economic processes. Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization.\u003cbr\u003eChapters 1 and 2 focus on describing systems and evaluating their performances. Chapter 3 deals with dynamic programming. The calculus of variations and Pontryagin's minimum principle are the subjects of chapters 4 and 5, and chapter 6 examines iterative numerical techniques for finding optimal controls and trajectories. Numerous problems, intended to introduce additional topics as well as to illustrate basic concepts, appear throughout the text.\u003c\/p\u003e\u003cbr\u003e","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":50565996904722,"sku":"9780486434841","price":25.99,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_09ec9eb7-1cf6-4c71-80b9-7002d1434b6c.jpg?v=1731889756","url":"https:\/\/surprise-castle.myshopify.com\/products\/optimal-control-theory-an-introduction-9780486434841","provider":"Surprise Castle","version":"1.0","type":"link"}