000			03333nam a22005655i 4500
001			978-3-319-26995-5
003			DE-He213
005			20200421111651.0
007			cr nn 008mamaa
008			151125s2016 gw | s |||| 0|eng d
020			_a9783319269955 _9978-3-319-26995-5
024	7		_a10.1007/978-3-319-26995-5 _2doi
050		4	_aTJ212-225
072		7	_aTJFM _2bicssc
072		7	_aTEC004000 _2bisacsh
082	0	4	_a629.8 _223
100	1		_aProdan, Ionela. _eauthor.
245	1	0	_aMixed-Integer Representations in Control Design _h[electronic resource] : _bMathematical Foundations and Applications / _cby Ionela Prodan, Florin Stoican, Sorin Olaru, Silviu-Iulian Niculescu.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2016.
300			_aXII, 107 p. 30 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringerBriefs in Electrical and Computer Engineering, _x2191-8112
505	0		_aIntroduction -- Non-Covex Region Characterization by Hyperplane Arrangements -- Mixed-Integer Representations -- Examples of Multi-Agent Control Problems -- Conclusions.
520			_aIn 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.
650		0	_aEngineering.
650		0	_aSystem theory.
650		0	_aCalculus of variations.
650		0	_aControl engineering.
650		0	_aRobotics.
650		0	_aAutomation.
650	1	4	_aEngineering.
650	2	4	_aControl.
650	2	4	_aSystems Theory, Control.
650	2	4	_aCalculus of Variations and Optimal Control; Optimization.
650	2	4	_aRobotics and Automation.
700	1		_aStoican, Florin. _eauthor.
700	1		_aOlaru, Sorin. _eauthor.
700	1		_aNiculescu, Silviu-Iulian. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319269931
830		0	_aSpringerBriefs in Electrical and Computer Engineering, _x2191-8112
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-319-26995-5
912			_aZDB-2-ENG
942			_cEBK
999			_c54387 _d54387