{"product_id":"a-primer-on-pontryagins-principle-i-michael-ross-9780984357116","title":"A Primer on Pontryagin's Principle in Optimal Control: Second Edition","description":"\u003cb\u003e EDITORIAL REVIEW: \u003c\/b\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book provides a \u003cb\u003e guided tour \u003c\/b\u003e in introducing optimal control theory from a \u003cb\u003e practitioner's point of view. \u003c\/b\u003eAs in the first edition, Ross takes the contrarian view that it is not necessary to prove Pontryagin's Principle before using it. Using the same philosophy, the second edition expands the ideas over four chapters: \u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eIn \u003cb\u003e Chapter 1\u003c\/b\u003e, basic principles related to problem formulation via a structured approach are introduced: \u003c\/li\u003e\n\u003col\u003e\n\u003cli\u003eWhat is a state variable? \u003c\/li\u003e\n\u003cli\u003eWhat is a control variable? \u003c\/li\u003e\n\u003cli\u003eWhat is state space? And so on.\u003c\/li\u003e\n\u003c\/ol\u003e\n\u003cli\u003eIn \u003cb\u003e Chapter 2\u003c\/b\u003e, Pontryagin's Principle is introduced using intuitive ideas from everyday life: Like the process of \"measuring\" a sandwich and how it relates to costates. A vast number of illustrations are used to explain the concepts without going into the minutia of obscure mathematics. Mnemonics are introduced to help a beginner remember the collection of conditions that constitute Pontryagin's Principle. \u003c\/li\u003e\n\u003cli\u003eIn \u003cb\u003eChapter 3\u003c\/b\u003e, several examples are worked out in detail to illustrate a step-by-step process in applying Pontryagin's Principle. Included in this example is Kalman's linear-quadratic optimal control problem.\u003c\/li\u003e\n\u003cli\u003eIn \u003cb\u003eChapter 4\u003c\/b\u003e, a large number of problems from applied mathematics to management science are solved to illustrate how Pontryagin's Principle is used across the disciplines. Included in this chapter are test problems and solutions. \u003c\/li\u003e\n\u003c\/ul\u003eThe style of the book is easygoing and engaging. The classical calculus of variations is an unnecessary prerequisite for understanding optimal control theory. Ross uses original references to weave an entertaining historical account of various events. Students, particularly beginners, will embark on \u003cb\u003e a minimum-time trajectory to applying Pontryagin's Principle.\u003c\/b\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e I. Michael Ross\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0984357114\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780984357116\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Collegiate Publishers\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 03\/03\/2015\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 370\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.14lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.77d","brand":"I. Michael Ross","offers":[{"title":"Paperback","offer_id":43992601886975,"sku":"9780984357116","price":36.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_f5837339-9a14-4efd-8023-41dc4d712019.jpg?v=1683319802","url":"https:\/\/www.whiterainbookhouse.com\/products\/a-primer-on-pontryagins-principle-i-michael-ross-9780984357116","provider":"WR Book House","version":"1.0","type":"link"}