Hidden Bibliographic Details
| Other authors / contributors: | Stoican, Florin, author
Olaru, Sorin, author
Niculescu, Silviu-Iulian, author
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| ISBN: | 9783319269955
331926995X
9783319269931
3319269933
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| Digital file characteristics: | text file PDF
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| Notes: | Includes bibliographical references and index.
English.
Online resource and print version record; title from PDF title page (SpringerLink, viewed March 13, 2017).
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| Summary: | "In 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. The 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. This book is a useful 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."--Publisher's description.
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| Other form: | Printed edition: 9783319269931
Print version: Prodan, Ionela. Mixed-integer representations in control design. [Cham] : Springer, [2016] 9783319269931
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| Standard no.: | 10.1007/978-3-319-26995-5
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