Numerical methods for optimal control problems with state constraints /
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| Author / Creator: | Pytlak, Radosław, 1956- |
|---|---|
| Imprint: | Berlin ; New York : Springer, ©1999. |
| Description: | 1 online resource (xii, 215 pages) : illustrations. |
| Language: | English |
| Series: | Lecture notes in mathematics, 0075-8434 ; 1707 Lecture notes in mathematics (Springer-Verlag) ; 1707. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11065977 |
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| 100 | 1 | |a Pytlak, Radosław, |d 1956- |0 http://id.loc.gov/authorities/names/n99042588 |1 http://viaf.org/viaf/47609850 | |
| 245 | 1 | 0 | |a Numerical methods for optimal control problems with state constraints / |c Radosław Pytlak. |
| 260 | |a Berlin ; |a New York : |b Springer, |c ©1999. | ||
| 300 | |a 1 online resource (xii, 215 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a computer |b c |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/c | ||
| 338 | |a online resource |b cr |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/cr | ||
| 490 | 1 | |a Lecture notes in mathematics, |x 0075-8434 ; |v 1707 | |
| 504 | |a Includes bibliographical references (pages]197]-207) and index. | ||
| 505 | 0 | |a Preface -- Introduction -- Estimates on Solutions to Differential Equations and Their Approximations -- A First Order Method -- Implementation -- A Second Order Method -- Runge-Kutta Based Procedure for Optimal Control f Differential -- Algebraic Equations -- A Primal Range-Space Method for Piecewise-Linear Quadratic Programming -- References -- List of Symbols -- Subject Index. | |
| 520 | |a While 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 | |a Control theory. |0 http://id.loc.gov/authorities/subjects/sh85031658 | |
| 650 | 0 | |a Mathematical optimization. |0 http://id.loc.gov/authorities/subjects/sh85082127 | |
| 650 | 0 | |a Numerical analysis. |0 http://id.loc.gov/authorities/subjects/sh85093237 | |
| 650 | 7 | |a Control theory. |2 fast |0 (OCoLC)fst00877085 | |
| 650 | 7 | |a Mathematical optimization. |2 fast |0 (OCoLC)fst01012099 | |
| 650 | 7 | |a Numerical analysis. |2 fast |0 (OCoLC)fst01041273 | |
| 650 | 1 | 7 | |a Controleleer. |2 gtt |
| 650 | 1 | 7 | |a Numerieke methoden. |2 gtt |
| 650 | 7 | |a Analise numerica. |2 larpcal | |
| 650 | 7 | |a Matematica. |2 larpcal | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Pytlak, Radosław, 1956- |t Numerical methods for optimal control problems with state constraints. |d Berlin ; New York : Springer, ©1999 |z 3540662146 |w (DLC) 99016712 |w (OCoLC)41540155 |
| 830 | 0 | |a Lecture notes in mathematics (Springer-Verlag) ; |v 1707. | |
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