國立虎尾科技大學 |

Numerical Methods for Optimal Control Problems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Numerical Methods for Optimal Control Problems/ edited by Maurizio Falcone, Roberto Ferretti, Lars Grüne, William M. McEneaney.
其他作者:	Falcone, Maurizio.
面頁冊數:	X, 268 p. 44 illus., 26 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	System theory. -
電子資源:	https://doi.org/10.1007/978-3-030-01959-4
ISBN:	9783030019594

Numerical Methods for Optimal Control Problems
Numerical Methods for Optimal Control Problems[electronic resource] /edited by Maurizio Falcone, Roberto Ferretti, Lars Grüne, William M. McEneaney. - 1st ed. 2018. - X, 268 p. 44 illus., 26 illus. in color.online resource. - Springer INdAM Series,292281-518X ;. - Springer INdAM Series,12.

1 M. Assellaou and A. Picarelli, A Hamilton-Jacobi-Bellman approach for the numerical computation of probabilistic state constrained reachable sets -- 2. A. Britzelmeier, A. De Marchi, and M. Gerdts, An iterative solution approach for a bi-level optimization problem for congestion avoidance on road networks -- 3 S. Cacace, R. Ferretti, and Z. Rafiei, Computation of Optimal Trajectories for Delay Systems: an Optimize-Then-Discretize Strategy for General-Purpose NLP Solvers -- 4 L. Mechelli and S. Volkwein, POD-Based Economic Optimal Control of Heat-Convection Phenomena -- 5 A. Alla and V. Simoncini, Order reduction approaches for the algebraic Riccati equation and the LQR problem -- 6 F. Durastante and S. Cipolla, Fractional PDE constrained optimization: box and sparse constrained problems -- 7 M. C. Delfour, Control, Shape, and Topological Derivatives via Minimax Differentiability of Lagrangians -- 8 A. J. Krener, Minimum Energy Estimation Applied to the Lorenz Attractor -- 9 M. Akian and E. Fodjo, Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations -- 10 P. M. Dower, An adaptive max-plus eigenvector method for continuous time optimal control problems -- 11 W. Mc Eneaney and R. Zhao, Diffusion Process Representations for a Scalar-Field Schr¨odinger Equation Solution in Rotating Coordinates.

The volume presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems in order to optimize measures of their performance. The field was created in the 1960's, in response to the pressures of the "space race" between the US and the former USSR, but it now has a far wider scope and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and financial market management. These emerging applications require increasingly efficient numerical methods to be developed for their solution – a difficult task due the huge number of variables. Providing an up-to-date overview of several recent methods in this area, including fast dynamic programming algorithms, model predictive control and max-plus techniques, this book is intended for researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications.

ISBN: 9783030019594

Standard No.: 10.1007/978-3-030-01959-4doiSubjects--Topical Terms:

566168
System theory.

LC Class. No.: Q295

Dewey Class. No.: 519

Numerical Methods for Optimal Control Problems
LDR:03904nam a22004095i 4500 001 987284
003 DE-He213
005 20200629230631.0
007 cr nn 008mamaa
008 201225s2018 gw | s |||| 0|eng d
020 $a 9783030019594 $9 978-3-030-01959-4
024 7 $a 10.1007/978-3-030-01959-4 $2 doi
035 $a 978-3-030-01959-4
050 4 $a Q295
050 4 $a QA402.3-402.37
072 7 $a GPFC $2 bicssc
072 7 $a SCI064000 $2 bisacsh
072 7 $a GPFC $2 thema
082 0 4 $a 519 $2 23
245 1 0 $a Numerical Methods for Optimal Control Problems $h [electronic resource] / $c edited by Maurizio Falcone, Roberto Ferretti, Lars Grüne, William M. McEneaney.
250 $a 1st ed. 2018.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a X, 268 p. 44 illus., 26 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Springer INdAM Series, $x 2281-518X ; $v 29
505 0 $a 1 M. Assellaou and A. Picarelli, A Hamilton-Jacobi-Bellman approach for the numerical computation of probabilistic state constrained reachable sets -- 2. A. Britzelmeier, A. De Marchi, and M. Gerdts, An iterative solution approach for a bi-level optimization problem for congestion avoidance on road networks -- 3 S. Cacace, R. Ferretti, and Z. Rafiei, Computation of Optimal Trajectories for Delay Systems: an Optimize-Then-Discretize Strategy for General-Purpose NLP Solvers -- 4 L. Mechelli and S. Volkwein, POD-Based Economic Optimal Control of Heat-Convection Phenomena -- 5 A. Alla and V. Simoncini, Order reduction approaches for the algebraic Riccati equation and the LQR problem -- 6 F. Durastante and S. Cipolla, Fractional PDE constrained optimization: box and sparse constrained problems -- 7 M. C. Delfour, Control, Shape, and Topological Derivatives via Minimax Differentiability of Lagrangians -- 8 A. J. Krener, Minimum Energy Estimation Applied to the Lorenz Attractor -- 9 M. Akian and E. Fodjo, Probabilistic max-plus schemes for solving Hamilton-Jacobi-Bellman equations -- 10 P. M. Dower, An adaptive max-plus eigenvector method for continuous time optimal control problems -- 11 W. Mc Eneaney and R. Zhao, Diffusion Process Representations for a Scalar-Field Schr¨odinger Equation Solution in Rotating Coordinates.
520 $a The volume presents recent mathematical methods in the area of optimal control with a particular emphasis on the computational aspects and applications. Optimal control theory concerns the determination of control strategies for complex dynamical systems in order to optimize measures of their performance. The field was created in the 1960's, in response to the pressures of the "space race" between the US and the former USSR, but it now has a far wider scope and embraces a variety of areas ranging from process control to traffic flow optimization, renewable resources exploitation and financial market management. These emerging applications require increasingly efficient numerical methods to be developed for their solution – a difficult task due the huge number of variables. Providing an up-to-date overview of several recent methods in this area, including fast dynamic programming algorithms, model predictive control and max-plus techniques, this book is intended for researchers, graduate students and applied scientists working in the area of control problems, differential games and their applications.
650 0 $a System theory. $3 566168
650 0 $a Numerical analysis. $3 527939
650 0 $a Computer mathematics. $3 1199796
650 0 $a Engineering mathematics. $3 562757
650 0 $a Game theory. $3 556918
650 1 4 $a Systems Theory, Control. $3 669337
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Computational Science and Engineering. $3 670319
650 2 4 $a Engineering Mathematics. $3 1203947
650 2 4 $a Game Theory. $3 1102060
700 1 $a Falcone, Maurizio. $e editor. $1 https://orcid.org/0000-0002-4277-2370 $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1279774
700 1 $a Ferretti, Roberto. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1279775
700 1 $a Grüne, Lars. $e author. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1269231
700 1 $a McEneaney, William M. $e editor. $4 edt $4 http://id.loc.gov/vocabulary/relators/edt $3 1279776
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030019587
776 0 8 $i Printed edition: $z 9783030019600
830 0 $a Springer INdAM Series, $x 2281-518X ; $v 12 $3 1257908
856 4 0 $u https://doi.org/10.1007/978-3-030-01959-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)