000			03064nam a22003978i 4500
001			CR9780511574795
003			UkCbUP
005			20200124160238.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090522s1999||||enk o ||1 0|eng|d
020			_a9780511574795 (ebook)
020			_z9780521451253 (hardback)
020			_z9780521154543 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA402.5 _b.F365 1999
082	0	0	_a003/.5 _220
100	1		_aFattorini, H. O. _q(Hector O.), _d1938- _eauthor.
245	1	0	_aInfinite dimensional optimization and control theory / _cH.O. Fattorini.
246	3		_aInfinite Dimensional Optimization & Control Theory
264		1	_aCambridge : _bCambridge University Press, _c1999.
300			_a1 online resource (xv, 798 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 62
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_gpt. I. _tFinite Dimensional Control Problems. _g1. _tCalculus of Variations and Control Theory. _g2. _tOptimal Control Problems Without Target Conditions. _g3. _tAbstract Minimization Problems: The Minimum Principle for the Time Optimal Problem. _g4. _tThe Minimum Principle for General Optimal Control Problems -- _gpt. II. _tInfinite Dimensional Control Problems. _g5. _tDifferential Equations in Banach Spaces and Semigroup Theory. _g6. _tAbstract Minimization Problems in Hilbert Spaces. _g7. _tAbstract Minimization Problems in Banach Spaces. _g8. _tInterpolation and Domains of Fractional Powers. _g9. _tLinear Control Systems. _g10. _tOptimal Control Problems with State Constraints. _g11. _tOptimal Control Problems with State Constraints -- _gpt. III. _tRelaxed Controls.
520			_aThis book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. Existence of optimal controls is established for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.
650		0	_aMathematical optimization.
650		0	_aCalculus of variations.
650		0	_aControl theory.
776	0	8	_iPrint version: _z9780521451253
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 62.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511574795
999			_c518257 _d518255