| Автор | Mehlhorn, Rainer |
| Автор | Sachs, Gottfried |
| Дата выпуска | 1994 |
| dc.description | A method for improving the productivity of users for solving optimal control problems is proposed. This method basically consists of two elements of which one is an automatic differentiation algorithm and the other is a dedicated compiler for providing more problem transparency.The first element of the proposed method is used for automatic evaluation of necessary optimality conditions. The differential equations for the adjoint variables can be computed automatically with a gradient operator. This operator is evaluated with an algorithm using automatic differentiation in reverse mode.The second element of the proposed method is concerned with making the optimization problem more transparent. For this purpose, the formal description of the optimal control problem can be expanded with a document software program like TEX or LATEX |
| Формат | application.pdf |
| Издатель | Gordon and Breach Science Publishers |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | TEX, LATEX, Automatic Differentiation, Transparent Programming, Maximum Principle, Optimal Control |
| Название | A new tool for efficient optimization by automatic differentiation and program transparency |
| Тип | research-article |
| DOI | 10.1080/10556789408805589 |
| Electronic ISSN | 1029-4937 |
| Print ISSN | 1055-6788 |
| Журнал | Optimization Methods and Software |
| Том | 4 |
| Первая страница | 225 |
| Последняя страница | 242 |
| Аффилиация | Mehlhorn, Rainer; Institute of Flight Mechanics and Flight Control, Technische Universität München |
| Аффилиация | Sachs, Gottfried; Institute of Flight Mechanics and Flight Control, Technische Universität München |
| Выпуск | 3 |
| Библиографическая ссылка | Allgower, E.L. and Georg, K. 1990. Numerical Continuation Methods., Berlin, Heidelberg, New York: Springer-Verlag. |
| Библиографическая ссылка | Knuth, D.E. 1986. The TEX book, volume A of Computers and Typesetting, Reading, Massachusetts: Addison Wesley Publishing Company. |
| Библиографическая ссылка | Knuth, D.E. 1986. TEX The Program, volume B of Computers and Typesetting, Reading, Massachusetts: Addison Wesley Publishing Company. |
| Библиографическая ссылка | Knuth, D.E. 1984. Literate programming.. The Computer Journal, 27: 97–111. |
| Библиографическая ссылка | Knuth, D.E. 1985. The WEB-System of Strucured documentation, Stanford: Computer Science Department, Stanford University. Technical report |
| Библиографическая ссылка | Fischer, H. 1989. Automatic differentiation of characterizing sequences. Journal of Computational and Applied Mathematics, 28: 181–185. |
| Библиографическая ссылка | Griewank, A. 1989. Mathematical Programming: On Automatic Differentiation in Mathematical Programming — Recent Developements and Applications., Boston: Kluwer Academic Publishers. |
| Библиографическая ссылка | Iri, M. and Kubola, K. 1987. “Methods of Fast Automatic Differentiation and Applications. Research memorandum RMI 87-02”. In Department of Mathematical Engineering and Instrumentation Physics, Faculty of Engineering, University of Tokyo. |
| Библиографическая ссылка | Liepelt, M. and Schittkowski, K. 1990. “PCOMP A Fortran Code for Automatic Differentiation”. DFG-Schwerpunktprogramm Anwendungsbezogene Optimierung und Steuerung. Report No. 254 |
| Библиографическая ссылка | 1984. An efficient algorithm for computing derivatives and extremal problems, english translation. Ekonomika i matematicheskie metody, 20(2): 309–318. |
| Библиографическая ссылка | Schöpf, R. and Deufthard, P. 1993. “OCCAL: A mixed symbolic-numeric Optimal Conctrol CALculator.”. In Control Applications of Optimization, Edited by: Bulirsch, R. and Kraft, D. Basel: Birkhäuser. |
| Библиографическая ссылка | Aho, A.V., Sethi, R.. and Ullmann, J.D. 1986. Compiler-Principles, Techniques and Tools, New York: Addison-Wesley. |
| Библиографическая ссылка | Schreiner, A.T. and Friedman, H.G. 1985. Compiler bauen mit UNIX-Eine Einführung, München, Wien: Carl Hauser Verlag. |
| Библиографическая ссылка | Sachs, G. and Mehlhorn, R. 1993. Enhancement of Endurance Performance by Periodic Optimal Camber Control. AIAA Journal of Guidance, Control and Dynamics, 16(3) May-June: 572–578. |
| Библиографическая ссылка | Bulirsch, R. 1993. “Die Mehrzielmethode zur numerischen Lösung von nichtlinearen Randwertproblemen und Aufgaben der optimalen Steuerung.”. In Optimierungsverfahren—Software und lechnische Anwendungen, Mathematisches Institut, Technische Universität München. R1.06 Dynamische Systeme, Oberpfaffenhofen, Germany, 1971. Carl-Cranz-Gesellschaft. Reprint |
| Библиографическая ссылка | Bryson, A.E. and Ho, Y. 1972. Applied Optimal Control, New York: Hemisphere Publishing Corporation, Halsted Press. |
| Библиографическая ссылка | Bock, H.G. 1981. “Numerische Behandlung von Zustandsbeschränkungen und Chebyshef-Steuerungs-problemen”. In Optimierungsverfahren — Software und technische Anwendungen, Carl-Cranz-Gesellschan, , Germany: Oberpfaffenhofen. DR3. 10 Systemdynamik und Regelung |
| Библиографическая ссылка | Bock, H.G. 1987. Randwertproblemmethoden zur Parameteridentifizierungin Systemen nichtlinearer Differentialgleichungen., Vol. 183, Bonn: Bonner Mathematische Sclpriften. Dissertation, Universitat Bonn, 1985 |
| Библиографическая ссылка | Hiltmann, P. 1990. Numerische Lösung von Mehrpunkt-Randwertaufgaben und Aufgaben der optimalen Steuerung mit Steuerfunktionen über endlichdimanesionalen Räumen., Dissertation, Technische Universität Munchen. |
| Библиографическая ссылка | 1964. “International Civil Aviation Organization”. Montreal. |
| Библиографическая ссылка | Oberle, H.J. 1983. “Numerische Berechnung optimaler Steuerungen von Heizung und Kühlung für ein realistisches Sonnenhausmodell.”. Institut für Mathematik der Technischen Universität Münhen. Report tum-m8310 |
| Библиографическая ссылка | Oberle, H. J., Grimm, W. and Berger, E. 1985. BNDSCO Rechenprogramm zur Losung beschränkter optimaler Steuerungsprobleme, Technische Universit´t München. Report tum-m8509 |
