Fractional Order Optimal Control Problems with Free Terminal Time

  title={Fractional Order Optimal Control Problems with Free Terminal Time},
  author={Shakoor Pooseh and Ricardo Almeida and Delfim F. M. Torres},
Abstract. We consider fractional order optimal control problems in which the dynamic control system involves integer and fractional order derivatives and the terminal time is free. Necessary conditions for a state/control/terminaltime triplet to be optimal are obtained. Situations with constraints present at the end time are also considered. Under appropriate assumptions, it is shown that the obtained necessary optimality conditions become sufficient. Numerical methods to solve the problems are… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 24 references

Numerical approximations of fractional derivatives with applications

S. Pooseh, R. Almeida, D.F.M. Torres
Asian J. Control , 15 • 2013
View 2 Excerpts

Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative

S. Pooseh, R. Almeida, D.F.M. Torres
Numer. Funct. Anal. Optim., 33 • 2012
View 1 Excerpt

Introduction to the Fractional Calculus of Variations

A. B. Malinowska, D.F.M. Torres
Imperial College Press, London • 2012
View 1 Excerpt

Optimal inventory control with fixed ordering cost for selling by Internet auctions

S. Liu, Q. Hu, Y. Xu
J. Ind. Manag. Optim., 8 • 2012
View 1 Excerpt

A new computational method for a class of free terminal time optimal control problems

Q. Lin, R. Loxton, K. L. Teo, Y. H. Wu
Pac. J. Optim., 7 • 2011
View 1 Excerpt

Fractional optimal control problems with several state and control variables

O. P. Agrawal, O. Defterli, D. Baleanu
J. Vib. Control , 16 • 2010

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