NECESSARY CONDITIONS FOR A WEAK MINIMUM IN OPTIMAL CONTROL PROBLEMS WITH INTEGRAL EQUATIONS ON A VARIABLE TIME INTERVAL

ANDREI V. DMITRUK; NIKOLAI P. OSMOLOVSKII

首页> 外文期刊>Discrete and continuous dynamical systems >NECESSARY CONDITIONS FOR A WEAK MINIMUM IN OPTIMAL CONTROL PROBLEMS WITH INTEGRAL EQUATIONS ON A VARIABLE TIME INTERVAL

【24h】

NECESSARY CONDITIONS FOR A WEAK MINIMUM IN OPTIMAL CONTROL PROBLEMS WITH INTEGRAL EQUATIONS ON A VARIABLE TIME INTERVAL

机译：可变时间间隔上带有积分方程的最优控制问题的极小值的必要条件

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We study an optimal control problem with Volterra-type integral equation, considered on a nonfixed time interval, subject to endpoint constraints of equality and inequality type. We obtain first-order necessary opti-mality conditions for an extended weak minimum, the notion of which is a natural generalization of the notion of weak minimum with account of variations of the time. The conditions obtained generalize the Euler-Lagrange equation and transversality conditions for the Lagrange problem in the classical calculus of variations with ordinary differential equations.

机译：我们研究的Volterra型积分方程的最优控制问题是在一个不固定的时间间隔内考虑的，并且要服从等式和不等式的端点约束。我们为扩展的弱极小值获得一阶必要的最优性条件，其概念是考虑到时间变化而对弱极小值概念的自然概括。所获得的条件推广了一般的微分方程微分方程中的拉格朗日问题的Euler-Lagrange方程和横向条件。

著录项

来源
《Discrete and continuous dynamical systems》 |2015年第9期|4323-4343|共21页
作者
ANDREI V. DMITRUK; NIKOLAI P. OSMOLOVSKII;
展开▼
作者单位

Russian Academy of Sciences, Central Economics and Mathematics Institute and Lomonosov Moscow State University Russia 117418, Moscow, Nakhimovskii prospekt, 47;

Systems Research Institute, Polish Academy of Sciences, Warszawa Moscow State University of Civil Engineering, Russia , University of Technology and Humanities in Radom, Poland 26-600 Radom, ul. Malczewskiego 20A, Poland;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
Volterra-type equation; extended weak minimum; Euler—Lagrange equation; adjoint equation; transversality conditions; change of time variable.;

机译：Volterra型方程;扩展弱最小;欧拉-拉格朗日方程;伴随方程横向条件;时间变量的变化。;

相似文献

外文文献
中文文献
专利

1. NECESSARY CONDITIONS FOR A WEAK MINIMUM IN A GENERAL OPTIMAL CONTROL PROBLEM WITH INTEGRAL EQUATIONS ON A VARIABLE TIME INTERVAL [J] . Dmitruk Andrei V., Osmolovskii Nikolai P. Mathematical control and related fields . 2017,第4期

机译：在可变时间间隔内具有整体方程的一般最佳控制问题中的弱最小值的必要条件
2. NECESSARY CONDITIONS FOR A WEAK MINIMUM IN OPTIMAL CONTROL PROBLEMS WITH INTEGRAL EQUATIONS SUBJECT TO STATE AND MIXED CONSTRAINTS [J] . Dmitruk A. V., Osmolovskii N. P. SIAM Journal on Control and Optimization . 2014,第6期

机译：带有状态和混合约束的带有积分方程的最优控制问题的极小值的必要条件
3. Sufficient second order optimality conditions for a state-constrained optimal control problem of a weakly singular integral equation [J] . Arnd Rosch, Fredi Troltzsch Numerical Functional Analysis and Optimization . 2002,第1a2期

机译：弱奇异积分方程的状态约束最优控制问题的充分二阶最优条件
4. Necessary Optimality Conditions in a Problem with Integral Equations on a Nonfixed Time Interval Subject to Mixed and State Constraints [C] . Andrei Dmitruk, Nikolai Osmolovskii IFIP TC 7 conference on system modeling and optimization . 2016

机译：具有混合和状态约束的非固定时间区间上积分方程问题的最优性条件。
5. Minimum-time optimal output transitions using pre- and post-actuated inputs: Impact of zeros on the structure of the optimal control profile. [D] . Haggerty, Jennifer. 2015

机译：使用预驱动和后驱动输入的最短时间最佳输出过渡：零对最佳控制曲线结构的影响。
6. Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations [O] . Michael Feischl, Gregor Gantner, Alexander Haberl, -1

机译：弱奇异积分方程的自适应IGA边界元方法的最优收敛
7. Necessary Optimality Conditions in a Problem with Integral Equations on a Nonfixed Time Interval Subject to Mixed and State Constraints [O] . Dmitruk, Andrei, Osmolovskii, Nikolai 2015

机译：具有混合和状态约束的非固定时间间隔上积分方程问题的最优性条件。

NECESSARY CONDITIONS FOR A WEAK MINIMUM IN OPTIMAL CONTROL PROBLEMS WITH INTEGRAL EQUATIONS ON A VARIABLE TIME INTERVAL

摘要

著录项

相似文献

相关主题

期刊订阅