說明 
1 online resource (xii, 107 pages) : illustrations, digital ; 24 cm 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
系列 
SpringerBriefs in electrical and computer engineering, 21918112


SpringerBriefs in electrical and computer engineering

附註 
Introduction  NonCovex Region Characterization by Hyperplane Arrangements  MixedInteger Representations  Examples of MultiAgent Control Problems  Conclusions 

In this book, the authors propose efficient characterizations of the nonconvex 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 optimizationbased 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 nonconvex regions efficiently. Mixedinteger 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 nonconvex systems working in control engineering area, mobile robotics and/or optimal planning and decisionmaking 
Host Item 
Springer eBooks

主題 
Engineering


System theory


Calculus of variations


Automatic control


Robotics


Automation


Engineering


Control


Systems Theory, Control


Calculus of Variations and Optimal Control; Optimization


Robotics and Automation

Alt Author 
Stoican, Florin, author


Olaru, Sorin, author


Niculescu, SilviuIulian, author


SpringerLink (Online service)

