Multicriteria linear-quadratic optimization problem

被引：0
|
作者：
Tavger, E.E.
Fomin, V.N.
机构：
来源：
Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya | 1995年 / 03期
关键词：
Hilbert space - Pareto optimal elements;
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摘要：
The statement of the multicriteria optimization problem has been considered in the Hilbert space H. Necessary and sufficient conditions of the P-optimization have been defined. Some results obtained at studying the linear-quadratic problem of the optimal control have been extended for the multicriteria case. The solution of the multicriteria linear-quadratic optimization problem has been discussed in a rather abstract form. The set of Pareto-optimal elements has been described in terms of solutions of a linear equation in the Hilbert space.
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页码：60 / 66
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