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Duality for a Control Problem Involving Support Functions

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DOI: 10.4236/am.2014.521330    3,025 Downloads   3,353 Views  

ABSTRACT

Mond-Weir type duality for control problem with support functions is investigated under generalized convexity conditions. Special cases are derived. A relationship between our results and those of nonlinear programming problem containing support functions is outlined.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Husain, I. , Shah, A. and Pandey, R. (2014) Duality for a Control Problem Involving Support Functions. Applied Mathematics, 5, 3525-3535. doi: 10.4236/am.2014.521330.

References

[1] Husain, I., Ahmad, A. and Shah, A.R. (2014) On a Control Problem with Support Functions. (Submitted for Publication)
[2] Craven, B.D. (1978) Mathematical Programming and Control Theory. Chapman and Hall, Landon.
http://dx.doi.org/10.1007/978-94-009-5796-1
[3] Mond, B. and Hanson, M. (1968) Duality for Control Problem. SIAM Journal on Control, 6, 114-120.
http://dx.doi.org/10.1137/0306009
[4] Husain, I., Abha and Jabeen, Z. (2002) On Nonlinear Programming with Support Function. Journal of Applied Mathematics and Computing, 10, 83-99.

  
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