{"product_id":"9783319269931","title":"SpringerBriefs in Electrical and Computer Engineering: Mathematical Foundations and Applications","description":"\u003ch1\u003eSpringerBriefs in Electrical and Computer Engineering: Mathematical Foundations and Applications\u003c\/h1\u003e \u003ch2\u003eProdan, Ionela; Stoican, Florin; Olaru, Sorin; Niculescu, Silviu-Iulian\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eIn this book, the authors propose efficient characterizations of the non-convex regions that appear in many control problems, such as those involving collision\/obstacle avoidance and, in a broader sense, in the description of feasible sets for optimization-based control design involving contradictory objectives. \u003c\/p\u003e\u003cp\u003eThe text deals with a large class of systems that require the solution of appropriate optimization problems over a feasible region, which is neither convex nor compact. The proposed approach uses the combinatorial notion of hyperplane arrangement, partitioning the space by a finite collection of hyperplanes, to describe non-convex regions efficiently. Mixed-integer programming techniques are then applied to propose acceptable formulations of the overall problem. Multiple constructions may arise from the same initial problem, and their complexity under various parameters - space dimension, number of binary variables, etc. - is also discussed.\u003c\/p\u003e\u003cp\u003eThis book is auseful tool for academic researchers and graduate students interested in non-convex systems working in control engineering area, mobile robotics and\/or optimal planning and decision-making.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2015-12-02\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783319269931\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-319-26995-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 107\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45382897369228,"sku":"9783319269931","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783319269931.jpg?v=1775783971","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783319269931","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}