M.d.R. de Pinho , M. Margarida A. Ferreira , Georgi Smirnov
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引用次数: 0
摘要
下面，我们将使用惩罚函数方法，推导出具有非规则混合约束（见 Dmitruk(2009)、Dmitruk 和 Osmolovskii(2022)）问题的最优性必要条件，该方法类似于我们之前用于解决控制扫频过程优化问题的方法（见 de Pinho 等人(2022)、具有纯状态约束的 de Pinho 等人(2024)和具有规则混合约束的 de Pinho 等人(2024)、我们有意考虑全局最小值和最简单的边界条件。
Optimal control problem with nonregular mixed constraints via penalty functions
Below we deduce necessary conditions of optimality for problems with nonregular mixed constraints (see Dmitruk(2009), Dmitruk and Osmolovskii(2022)) using the method of penalty functions similar to the one we previously used to solve optimization problems for control sweeping processes (see, e.g., de Pinho et al. (2022)), with pure state constraints de Pinho et al.,2024 and with regular mixed constraints (de Pinho et al.,2024).
We intentionally consider a global minimum and the simplest boundary conditions.
期刊介绍：
Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.
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