000 04052nam a22004815i 4500
001 978-0-8176-8086-2
003 DE-He213
005 20140220084458.0
007 cr nn 008mamaa
008 100628s2010 xxu| s |||| 0|eng d
020 _a9780817680862
_9978-0-8176-8086-2
024 7 _a10.1007/978-0-8176-8086-2
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aTEC004000
_2bisacsh
082 0 4 _a519
_223
100 1 _aVinter, Richard.
_eauthor.
245 1 0 _aOptimal Control
_h[electronic resource] /
_cby Richard Vinter.
264 1 _aBoston :
_bBirkhäuser Boston,
_c2010.
300 _aXX, 500p. 13 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aModern Birkhäuser Classics
505 0 _aOverview -- Measurable Multifunctions and Differential Inclusions -- Variational Principles -- Nonsmooth Analysis -- Subdifferential Calculus -- The Maximum Principle -- The Extended Euler–Lagrange and Hamilton Conditions -- Necessary Conditions for Free End-Time Problems -- The Maximum Principle for State Constrained Problems -- Necessary Conditions for Differential Inclusion Problems with State Constraints -- Regularity of Minimizers -- Dynamic Programming.
520 _aOptimal Control brings together many of the important advances in 'nonsmooth' optimal control over the last several decades concerning necessary conditions, minimizer regularity, and global optimality conditions associated with the Hamilton–Jacobi equation. The book is largely self-contained and incorporates numerous simplifications and unifying features for the subject’s key concepts and foundations. Features and Topics: * a comprehensive overview is provided for specialists and nonspecialists * authoritative, coherent, and accessible coverage of the role of nonsmooth analysis in investigating minimizing curves for optimal control * chapter coverage of dynamic programming and the regularity of minimizers * explains the necessary conditions for nonconvex problems This book is an excellent presentation of the foundations and applications of nonsmooth optimal control for postgraduates, researchers, and professionals in systems, control, optimization, and applied mathematics. ----- Each chapter contains a well-written introduction and notes. They include the author's deep insights on the subject matter and provide historical comments and guidance to related literature. This book may well become an important milestone in the literature of optimal control.—Mathematical Reviews This remarkable book presents Optimal Control seen as a natural development of Calculus of Variations so as to deal with the control of engineering devices. ... Thanks to a great effort to be self-contained, it renders accessibly the subject to a wide audience. Therefore, it is recommended to all researchers and professionals interested in Optimal Control and its engineering and economic applications. It can serve as an excellent textbook for graduate courses in Optimal Control (with special emphasis on Nonsmooth Analysis). —Automatica The book may be an essential resource for potential readers, experts in control and optimization, as well as postgraduates and applied mathematicians, and it will be valued for its accessibility and clear exposition.—Applications of Mathematics
650 0 _aMathematics.
650 0 _aSystems theory.
650 1 4 _aMathematics.
650 2 4 _aSystems Theory, Control.
650 2 4 _aControl.
650 2 4 _aCalculus of Variations and Optimal Control, Optimization.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817649906
830 0 _aModern Birkhäuser Classics
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-8086-2
912 _aZDB-2-SMA
999 _c109933
_d109933