Second-Order Necessary Optimality Conditions in Optimal Impulsive Control Problems

A. V. Arutyunov; D. Yu. Karamzin; F. L. Pereira; N. Yu. Chernikova

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Second-Order Necessary Optimality Conditions in Optimal Impulsive Control Problems

机译：最佳冲动控制问题的二阶必要的最优性条件

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摘要

Impulsive optimal control problems are studied. Under the Frobenius conditions, second-order necessary optimality conditions are proved without any a priori normality assumptions.

机译：研究了冲动的最佳控制问题。在Frobenius条件下，证明了二阶必要的最优性条件，无需任何先验的正常假设。

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《Differential equations: A translation of differensial'nye uraveniya》 |2018年第8期|共19页
作者
A. V. Arutyunov; D. Yu. Karamzin; F. L. Pereira; N. Yu. Chernikova;
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作者单位

Peoples’ Friendship University of Russia;

Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences;

University of Porto;

Peoples’ Friendship University of Russia;

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原文格式 PDF
正文语种 eng
中图分类微分方程、积分方程;
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专利

1. Second-Order Necessary Optimality Conditions in Optimal Impulsive Control Problems [J] . A. V. Arutyunov, D. Yu. Karamzin, F. L. Pereira, Differential equations: A translation of differensial'nye uraveniya . 2018,第8期

机译：最佳冲动控制问题的二阶必要的最优性条件
2. Necessary conditions of optimality for second-order nonlinear impulsive integro-differential equations on Banach spaces [J] . Peng Y., Xiang X. Nonlinear analysis. Real world applications . 2010,第4期

机译：Banach空间上二阶非线性脉冲积分微分方程最优性的必要条件
3. SECOND-ORDER SUFFICIENT OPTIMALITY CONDITIONS FOR A SEMILINEAR OPTIMAL CONTROL PROBLEM WITH NONLOCAL RADIATION INTERFACE CONDITIONS [J] . Christian Meyer ESAIM . 2007,第4期

机译：具有非局部辐射界面条件的半线性最优控制问题的二阶充分最优条件
4. Investigation of second-order optimality conditions for impulsive control problems under the Frobenius condition [C] . Aram Arutyunov, Dmitry Karamzin, Fernando L. Pereira IEEE Annual Conference on Decision and Control . 2017

机译：Frobenius条件下脉冲控制问题的二阶最优条件研究
5. Global optimality conditions in mathematical programming and optimal control. [D] . Pacheenburawana, Pariwat. 2005

机译：数学编程和最优控制中的全局最优性条件。
6. Second-order optimality conditions for nonlinear programs and mathematical programs [O] . Ikram Daidai -1

机译：非线性程序和数学程序的二阶最优性条件
7. Necessary Conditions of Optimality for Second-Order Nonlinear Impulsive Differential Equations [O] . 2007

机译：二阶非线性脉冲微分方程最优性的必要条件

Second-Order Necessary Optimality Conditions in Optimal Impulsive Control Problems

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