涉及测地线拟反积多重积分泛函的矢量比变分控制问题的有效性

IF 1.2 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Archives of Control Sciences Pub Date : 2023-07-20 DOI:10.24425/acs.2021.138697

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引用次数: 0

摘要

本文给出了一类包含m流型偏微分方程的测地拟逆多重积分泛函和混合约束的多目标分数变分控制问题的充要条件。利用(正)测地线有效解的新概念，在(ρ， b) -测地线拟invix假设下，建立了可行解的充分效率条件。

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Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals

In this paper, we introduce necessary and suﬃcient eﬃciency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m -ﬂow type PDEs. Using the new notion of ( normal ) geodesic eﬃcient solution , under ( ρ, b ) - geodesic quasiinvexity assumptions, we establish suﬃcient eﬃciency conditions for a feasible solution.

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来源期刊

Archives of Control Sciences Mathematics-Modeling and Simulation

CiteScore

2.40

自引率

33.30%

发文量

审稿时长

14 weeks

期刊介绍： Archives of Control Sciences welcomes for consideration papers on topics of significance in broadly understood control science and related areas, including: basic control theory, optimal control, optimization methods, control of complex systems, mathematical modeling of dynamic and control systems, expert and decision support systems and diverse methods of knowledge modelling and representing uncertainty (by stochastic, set-valued, fuzzy or rough set methods, etc.), robotics and flexible manufacturing systems. Related areas that are covered include information technology, parallel and distributed computations, neural networks and mathematical biomedicine, mathematical economics, applied game theory, financial engineering, business informatics and other similar fields.