000 | 03355nam a22005415i 4500 | ||
---|---|---|---|
001 | 978-3-540-48662-6 | ||
003 | DE-He213 | ||
005 | 20190213151221.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1999 gw | s |||| 0|eng d | ||
020 |
_a9783540486626 _9978-3-540-48662-6 |
||
024 | 7 |
_a10.1007/BFb0097244 _2doi |
|
050 | 4 | _aQ295 | |
050 | 4 | _aQA402.3-402.37 | |
072 | 7 |
_aGPFC _2bicssc |
|
072 | 7 |
_aSCI064000 _2bisacsh |
|
072 | 7 |
_aGPFC _2thema |
|
082 | 0 | 4 |
_a519 _223 |
100 | 1 |
_aPytlak, Radosław. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aNumerical Methods for Optimal Control Problems with State Constraints _h[electronic resource] / _cby Radosław Pytlak. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1999. |
|
300 |
_aXV, 218 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1707 |
|
505 | 0 | _aEstimates on solutions to differential equations and their approximations -- First order method -- Implementation -- Second order method -- Runge-Kutta based procedure for optimal control of differential— Algebraic Equations. | |
520 | _aWhile optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature. | ||
650 | 0 | _aSystems theory. | |
650 | 0 | _aMathematical optimization. | |
650 | 0 | _aNumerical analysis. | |
650 | 0 | _aEconomic theory. | |
650 | 1 | 4 |
_aSystems Theory, Control. _0http://scigraph.springernature.com/things/product-market-codes/M13070 |
650 | 2 | 4 |
_aCalculus of Variations and Optimal Control; Optimization. _0http://scigraph.springernature.com/things/product-market-codes/M26016 |
650 | 2 | 4 |
_aNumerical Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M14050 |
650 | 2 | 4 |
_aEconomic Theory/Quantitative Economics/Mathematical Methods. _0http://scigraph.springernature.com/things/product-market-codes/W29000 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662163924 |
776 | 0 | 8 |
_iPrinted edition: _z9783540662143 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1707 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0097244 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9914 _d9914 |