离散系统程序运动与摄动运动联合优化的数学模型

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2021-06-01 DOI:10.21638/11701/spbu10.2021.210

E. Kotina, D. Ovsyannikov

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引用次数: 2

摘要

А本文建立了离散系统优化的新数学模型。研究了程序运动和摄动运动的系综(束)。在这种情况下，作者考虑了程序和摄动运动上定义的光滑泛函和非光滑泛函的联合优化。给出了函数的变分和必要的最优性条件。发达的数学技术可以解决各种科学技术领域的非标准控制和优化问题。

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Mathematical model of joint optimization of programmed and perturbed motions in discrete systems

А new mathematical model for the optimization of discrete systems is constructed in the article. The program motion and the ensemble (beam) of perturbed motions are investigated. In this case, the authors consider the joint optimization of smooth and non-smooth functionals defined on the program and perturbed motions. The variation of the functional and the necessary optimality conditions are provided. The developed mathematical technique allows solving non-standard control and optimization problems in various fields of science and technology.

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来源期刊

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.