Duality for Set-Valued Multiobjective Optimization Problems. Part 2: Optimal Control
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The present paper is a continuation of a paper by Azimov (J. Optim. Theory Appl. 2007, accepted), where we derived duality relations for some general multiobjective optimization problems which include convex programming and optimal control problems. As a consequence, we established duality results for multiobjective convex programming problems. In the present paper (Part 2), based on Theorem 3.2 of Azimov (J. Optim. Theory Appl. 2007, accepted), we establish duality results for several classes of multiobjective optimal control problems.
KeywordsDuality in multiobjective optimization Duality for multiobjective optimal control problems Convexity of the set of vector integrals Minimax theorems Multiobjective quasilinear optimal control problems
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- 1.Azimov, A.Y., Duality for set-valued multiobjective optimization problems, Part 1: Mathematical programming, J. Optim. Theory Appl. (2007, accepted) Google Scholar
- 13.Alexeyev, V.M., Tikhomirov, V.M., Fomin, S.V.: Optimal Control (in Russian). Nauka, Moscow (1979) (English translation Plenum, New York, NY, 1987) Google Scholar
- 15.Edwards, R.E.: Functional Analysis. Dover, New York (1995) Google Scholar
- 16.Krasovski, N.N.: The Theory of Motion Control. Nauka, Moscow (1968) (in Russian) Google Scholar