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024 7 $a10.1007/BFb0097244
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035   $a(DE-He213)978-3-540-48662-6
035   $a(MiAaPQ)EBC5577996
035   $a(Au-PeEL)EBL5577996
035   $a(OCoLC)1066177205
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100   $a20121227d1999      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aNumerical Methods for Optimal Control Problems with State Constraints /$fby Radoslaw Pytlak
205   $a1st ed. 1999.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999.
215   $a1 online resource (XV, 218 p.) 
225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1707
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-540-66214-6 
327   $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.
330   $aWhile optimality conditions for optimal control problems with state constraints have been extensively investigated in the literature the results pertaining to numerical methods are relatively scarce. This book fills the gap by providing a family of new methods. Among others, a novel convergence analysis of optimal control algorithms is introduced. The analysis refers to the topology of relaxed controls only to a limited degree and makes little use of Lagrange multipliers corresponding to state constraints. This approach enables the author to provide global convergence analysis of first order and superlinearly convergent second order methods. Further, the implementation aspects of the methods developed in the book are presented and discussed. The results concerning ordinary differential equations are then extended to control problems described by differential-algebraic equations in a comprehensive way for the first time in the literature.
410  0$aLecture Notes in Mathematics,$x1617-9692 ;$v1707
606   $aSystem theory
606   $aControl theory
606   $aMathematical optimization
606   $aCalculus of variations
606   $aNumerical analysis
606   $aEconometrics
606   $aSystems Theory, Control
606   $aCalculus of Variations and Optimization
606   $aNumerical Analysis
606   $aQuantitative Economics
615  0$aSystem theory.
615  0$aControl theory.
615  0$aMathematical optimization.
615  0$aCalculus of variations.
615  0$aNumerical analysis.
615  0$aEconometrics.
615 14$aSystems Theory, Control.
615 24$aCalculus of Variations and Optimization.
615 24$aNumerical Analysis.
615 24$aQuantitative Economics.
676   $a510
700   $aPytlak$b Rados?aw$f1956-$062268
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910146309303321
996   $aNumerical methods for optimal control problems with state constraints$978162
997   $aUNINA