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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 30, 1994 - Issue 3
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Original Articles

Solving a class of linear optimal control problems with several control variables by the method of orienting curves

N. Dinh Institute of Mathematics, P.O. Box 631 Bo Ho, Hanoi, 10000, Vietnam
Pages 269-281 | Published online: 20 Mar 2007

References

  • Berge , C. 1966 . Espaces Topologiques Fonctions Multivoques , Paris : Dunod .
  • Berkovitz , L.D. 1974 . Optimal Control Theory , New York : Springer-Verlag . Heidelberg,Berlin
  • Dinh , N. and Phu , H.X. 1992 . Solving a Class of Regular Optimal Control Problems by the Method of Orienting Curves . Optimization , 25 : 231 – 247 .
  • Dinh , N. and Phu , H.X. 1992 . Solving a Class of Optimal Control Problems Which Are Linear in the Control Variable by the Method of Orienting Curves . Acta Mathematica Vietnamica , 17 : 115 – 134 .
  • Dinh , N. and Phu , H.X. 1992 . Method of Orienting Curves and Its Application to an Optimal Control Problem of a Hydroelectric Power Plant . Journal of Mathematics , 20 : 40 – 53 . Vietnam
  • Gabasov R. Kirillova F. Constructive Methods in Optimization 1984 Part II. Minsk (in Russian)
  • Ioffe , A.D. and Tichomirov , V.M. 1979 . Theory of External Problems , Amsterdam : North-Holland .
  • 1980 . Theoerems on Inequalities , Ashkhabad : Ylym . in Russian
  • Phu , H.X. 1984 . Zur Stetigkeit der Lösung der adjungierten Gleichung bei Aufgaben der optimalen Steurung mit Zustansbeschränkungen . Zeitschrift für Analysis und ihre Anwendungen , 3 : 527 – 539 .
  • Phu , H.X. 1987 . Zur Lösung einer regulären Aufgabenklasse der optimalen Steurung im Großen mittels Orientierungskurven . Optimization , 18 : 65 – 81 .
  • Phu , H.X. 1987 . Zur Lösung eines Zermeloschen NavigationsproblemsOrientierungskurven . Optimization , 18 : 225 – 236 .
  • Phu , H.X. 1987 . Ein konstructives Lösungsverfahren für das Problem des Inpolygons kleinsten Umfangs von J. Steiner . Optimization , 18 : 349 – 359 .
  • Phu , H.X. 1988 . Solution of Some High-dimensional Linear Optimal Control Problems by the Method of Region Analysis . Int. J. Control , 47 : 493 – 518 .
  • Phu , H.X. 1991 . Method of Orienting Curves for Solving Optimal Control Problems with State Constraints . Numerical Functional Analysis and Optimization , 12 : 173 – 211 .
  • Phu H. X. Dinh N. Some Remarks on the Method of Orienting Curves submitted
  • Phu H. X. Bock H. G. Schlöder J. Method of Orienting Curves and Its Application for Manipulator Trajectory Planning submitted
  • Subbotin , A.I. 1991 . Minimax Inequalities and Hamilton–Jacobi Equations , Moscow : Nauka . in Russian

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