Multiobjective Control Approximation Problems: Duality and Optimality

G. Wanka
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G. Wanka: Technical University Chemnitz

Journal of Optimization Theory and Applications, 2000, vol. 105, issue 2, No 11, 457-475

Abstract: Abstract A general convex multiobjective control approximation problem is considered with respect to duality. The single objectives contain linear functionals and powers of norms as parts, measuring the distance between linear mappings of the control variable and the state variables. Moreover, linear inequality constraints are included. A dual problem is established, and weak and strong duality properties as well as necessary and sufficient optimality conditions are derived. Point-objective location problems and linear vector optimization problems turn out to be special cases of the problem investigated. Therefore, well-known duality results for linear vector optimization are obtained as special cases.

Keywords: multiobjective optimization; control approximation problems; point-objective location; duality; optimality conditions (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1023/A:1004622204554

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