{"product_id":"optimization-of-dynamical-systems-with-boris-miller-9783031641237","title":"Optimization of Dynamical Systems with Impulse Controls and Shocks","description":"\u003cp\u003eThis text explores the state-of-the-art in the rapidly developing theory of impulse control and introduces the theory of singular space-time transformations, a new method for studying shock mechanical systems. Two approaches in the theory of impulse control are presented: The first, more traditional approach defines the impulsive action as a discontinuity of phase coordinates depending on the current time, the state preceding the action, and its magnitude. The second requires the use of modern methods for describing dynamical systems - differential equations with measures. The impulse is treated as an idealization of a very short action of high magnitude, which produces an almost abrupt change of phase coordinates. The relation between these two approaches is also discussed, and several applications, both traditional and emerging, are considered. \u003c\/p\u003e \u003cp\u003eThis text is intended for graduate students and researchers in control engineering and optimal control theory for dynamical systems. Readers are assumed to be familiar with the theory of ODEs, optimal control, and functional analysis, though an appendix is included that covers many of the necessary mathematical concepts.\u003cbr\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Boris Miller, Evgeny Rubinovich\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 303164123X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783031641237\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 09\/20\/2024\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 624\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 2.35lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 1.38d","brand":"Boris Miller","offers":[{"title":"Hardcover","offer_id":46293113864447,"sku":"9783031641237","price":99.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_14b51161-543c-4d0e-96f0-a99b2e6aacea.jpg?v=1730212166","url":"https:\/\/www.whiterainbookhouse.com\/products\/optimization-of-dynamical-systems-with-boris-miller-9783031641237","provider":"WR Book House","version":"1.0","type":"link"}