000			04360cam a22006257a 4500
999			_c3173
001			15194800
003			EC-UrYT
005			20200519152435.0
006			s||||gr|||| 00| 00
008			080226s2004 gw a b 001 0 eng d
010			_a 2008530153
015			_aGBA462426 _2bnb
016	7		_a970162618 _2GyFmDB
016	7		_a012977693 _2Uk
020			_a9783540210191 (acidfree paper)
020			_a3540210199 (acidfree paper)
035			_a(OCoLC)ocm55062472
040			_aOHX _cOHX _dCUS _dOCLCQ _dUKM _dMUQ _dOCL _dIXA _dBAKER _dDLC _dEC-UrYT
041			_aeng
042			_alccopycat
050	0	0	_aQA402.3 _b.A374 2004
082	0	4	_a515.642 _223
100	1		_aAgrachev, Andrei A. _97500
245	1	0	_aControl theory from the geometric viewpoint / _cAndrei A. Agrachev, Yuri L. Sachkov.
250			_aFirst Edition
264	3	4	_aBerlin ; _aNew York : _bSpringer, _c2004.
300			_axiv, 412 pages : _billustrations ; _c25 cm.
490	0		_aEncyclopaedia of mathematical sciences, _x0938-0396 ; _v87.
490	0		_aControl theory and optimization, _v2.
500			_aIncludes index.
504			_aIncludes bibliographical references (pages [399]-406) and index.
505	2		_a1 Vector fields and control systems on smooth manifolds -- 2 Elements of chronological calculus -- 3 Linear systems -- 4 State linearizability of nonlinear systems -- 5 The orbit theorem and its applications -- 6 Rotations of the rigid body -- 7 Control of configurations -- 8 Attainable sets -- 9 Feedback and state equivalence control systems -- 10 Optimal control problem -- 11 Elements of exterior calculus and symplectic geometry -- 12 Pontryagin maximum principle -- 13 Examples of optimal control problems -- 14 Hamiltonian systems with convex Hamiltonians -- 15 Linear time-optimal problem -- 16 Linear-quadratic problem -- 17 Sufficient optimality conditions, Hamilton-Jacobi equation, and dynamic programming -- 18 Hamiltonian systems for geometric optimal control problems -- 19 Examples of optimal control problems on compact lie groups -- 20 Second order of optimality conditions -- 21 Jacobi equation -- 22 Reduction -- 23 Curvature -- 24 Rolling bodies.
520	3		_aThis book presents some facts and methods of Mathematical Control Theory treated from the geometric viewpoint. It is devoted to finite-dimensional deterministic control systems governed by smooth ordinary differential equations. The problems of controllability, state and feedback equivalence, and optimal control are studied. Some of the topics treated by the authors are covered in monographic or textbook literature for the first time while others are presented in a more general and flexible setting than elsewhere. Although being fundamentally written for mathematicians, the authors make an attempt to reach both the practitioner and the theoretician by blending the theory with applications. They maintain a good balance between the mathematical integrity of the text and the conceptual simplicity that might be required by engineers. It can be used as a text for graduate courses and will become most valuable as a reference work for graduate students and researchers.
650	2	4	_aControl theory _97503
650	2	4	_aMathematical optimization _92345
650	2	4	_aDifferential geometry _92872
650	2	4	_aDifferentiable dynamical systems _92293
650	2	4	_aTeoría de control _97504
650	2	4	_aOptimización matemática _9281
650	2	4	_aGeometría diferencial _92874
650	2	4	_aSistemas dinámicos diferenciables _92962
700	1		_aSachkov, Yuri L. _97505 _eautor
830		0	_aEncyclopaedia of mathematical sciences ; _vv. 87.
830		0	_aEncyclopaedia of mathematical sciences. _pControl theory and optimization ; _v2.
856	4	2	_3Contributor biographical information _uhttp://www.loc.gov/catdir/enhancements/fy0818/2008530153-b.html
856	4	2	_3Publisher description _uhttp://www.loc.gov/catdir/enhancements/fy0818/2008530153-d.html
856	4	1	_3Table of contents only _uhttp://www.loc.gov/catdir/enhancements/fy0818/2008530153-t.html
906			_a7 _bcbc _ccopycat _d2 _encip _f20 _gy-gencatlg
942			_2ddc _cLIBRO
955			_ajp00 2008-02-26 z-processor _ijp18 2008-02-27