LEADER 04588nam 22005895 450 001 9910257379703321 005 20200705043036.0 010 $a3-319-60771-5 024 7 $a10.1007/978-3-319-60771-9 035 $a(CKB)4100000000587414 035 $a(DE-He213)978-3-319-60771-9 035 $a(MiAaPQ)EBC5579435 035 $a(PPN)204533244 035 $a(EXLCZ)994100000000587414 100 $a20170901d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOptimal Control: Novel Directions and Applications /$fedited by Daniela Tonon, Maria Soledad Aronna, Dante Kalise 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XIV, 388 p. 68 illus., 56 illus. in color.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2180 311 $a3-319-60770-7 327 $a1.Optimality conditions (in Pontryagin form) -- 1.1 Introduction -- 1.2 -- On first order necessary conditions under pure state constraints -- 1.3 Optimality conditions and local regularity of the value function for the optimal exit time problem -- 1.4 Relaxation in Optimal Control --  1.5 An Introduction to Optimal Control Problems with Time Delays -- 1.6 Variational Integrators for the Optimal Control of Mechanical  Systems -- 1.7 Pointwise necessary second order conditions -- 1.8 On the shooting method for control-affine problems -- 1.9 On second order conditions in the optimal control of Partial Differential Equations -- 2.Hamilton?Jacobi?Bellman equations -- 2.1 Introduction -- 2.2 Hamilton-Jacobi-Bellman approach for State-Constrained Optimal Control Problems, by Cristopher Hermosilla and Athena Picarelli -- 2.3 Hamilton-Jacobi-Bellman approach for State-Constrained Optimal Control Problems -- 2.4 High-order schemes for Hamilton?Jacobi?Bellman equations -- 2.5 Conclusion -- 2.6 Some Recent Applications of Hamilton?Jacobi?Bellman equations -- 2.7 A Brief Survey on Semi-Lagrangian Schemes for Mean Field Games, by Roberto Guglielmi and Francisco Silva -- 3. Direct Optimal Control and Model Predictive Control -- 3.1 Introduction -- 3.2 MPC Stability -- 3.3 Numerical Methods for MPC -- 3.4 Applications. 330 $aFocusing on applications to science and engineering, this book presents the results of the ITN-FP7 SADCO network?s innovative research in optimization and control in the following interconnected topics: optimality conditions in optimal control, dynamic programming approaches to optimal feedback synthesis and reachability analysis, and computational developments in model predictive control. The novelty of the book resides in the fact that it has been developed by early career researchers, providing a good balance between clarity and scientific rigor. Each chapter features an introduction addressed to PhD students and some original contributions aimed at specialist researchers. Requiring only a graduate mathematical background, the book is self-contained. It will be of particular interest to graduate and advanced undergraduate students, industrial practitioners and to senior scientists wishing to update their knowledge. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2180 606 $aCalculus of variations 606 $aMathematical models 606 $aSystem theory 606 $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 615 0$aCalculus of variations. 615 0$aMathematical models. 615 0$aSystem theory. 615 14$aCalculus of Variations and Optimal Control; Optimization. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aSystems Theory, Control. 676 $a629.8312 702 $aTonon$b Daniela$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aAronna$b Maria Soledad$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKalise$b Dante$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910257379703321 996 $aOptimal control$9436730 997 $aUNINA