Generalized Lagrange Function and Generalized Weak Saddle Points for a Class of Multiobjective Fractional Optimal Control Problems
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By constructing a kind of generalized Lagrange function for a class of multiobjective fractional optimal control problems, sufficient and necessary conditions for existence of generalized weak saddle points are established. In addition, the relationship between weak efficiency and generalized weak saddle points is discussed.
KeywordsMultiobjective fractional optimal control problems Generalized Lagrange function Weak saddle points
The research of H. Liu is supported by Inner Mongolia Natural Science Funds (20080404ms0110). The research of P.M. Pardalos is supported by CMS and DTRA grants. N. Fan is with Sandia National Laboratories, which is a multi-program laboratory managed and operated by Sandia Corporation, a wholly owned subsidiary of Lockheed Martin Corporation, for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-AC04-94AL85000.
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