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Duality for a Class of Multiobjective Control Problems

✍ Scribed by Chen Xiuhong

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 135 KB
Volume: 267
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7873

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✦ Synopsis

In this paper, a class of multiobjective control problems is considered, where the objective and constraint functions involved are f t x t ẋ t y t z t with x t ∈ R n , y t ∈ R n , and z t ∈ R m , where x t and z t are the control variables and y t is the state variable. Under the assumption of invexity and its generalization, duality theorems are proved through a parametric approach to related properly efficient solutions of the primal and dual problems.  2002 Elsevier Science (USA)

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