Generalized Lagrange Function and Generalized Weak Saddle Points for a Class of Multiobjective Fractional Optimal Control Problems |
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| Authors: | Haijun Liu Neng Fan Panos M Pardalos |
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| Institution: | (1) College of Science, Inner Mongolia Agricultural University, Huhhot, 010018, China;(2) College of Mathematical Science, Inner Mongolia University, Huhhot, 010021, China;(3) Department of Discrete Math and Complex Systems, Sandia National Laboratories, Albuquerque, NM 87185, USA;(4) Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL 32611, USA;(5) Laboratory of Algorithms and Technologies for Networks Analysis (LATNA), National Research University, Higher School of Economics, 20 Myasnitskaya st., Moscow, 101000, Russia; |
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| Abstract: | 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. |
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