中间时刻挠度函数指定值的两端位移对弦振荡的最优边界控制

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2022-01-01 DOI:10.21638/11701/spbu10.2022.310

V. Barseghyan

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引用次数: 0

摘要

考虑具有给定初始、最终条件和中间时刻给定弦挠度函数值的弦振动方程的最优边界控制问题，并在整个时间区间内指定质量准则。利用分离变量法和带多点中间条件的最优控制理论方法，对任意数目的一阶谐波构造了最优边界控制。作为构造方法的一个应用，在给定的中间时刻的弦挠度函数下建立了边界最优控制。

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Optimal boundary control of string oscillations by displacement at two ends with specified values of deflection function at intermediate moments of time

We consider the problem of optimal boundary control for the equation of string vibrations with given initial, final conditions and given values of the string deflection function at intermediate moments of time and with a quality criterion specified over the entire time interval. Using the method of separation of variables and methods of optimal control theory with multipoint intermediate conditions, optimal boundary controls are constructed for arbitrary numbers of the first harmonics. As an application of the proposed constructive approach, a boundary optimal control is built with a given string deflection function at an intermediate moment of time.

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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.