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Application of linear-quadratic control theory to the solution of special nonconvex problems of global constrained optimization

机译：线性二次控制理论在求解全局约束优化的特殊非凸问题中的应用

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摘要

A class of nonconvex problems of global constrained optimization is singled out for which the method of Lagrange duality is correct, and it permits to provide a solution of a problem on the basis of linear-quadratic control theory.

机译：选出一类全局约束优化的非凸问题，该问题的拉格朗日对偶性方法是正确的，并且可以基于线性二次控制理论提供问题的解决方案。

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《》|1995年|p.3928-3932|共5页
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Matveev; A.S.;
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中图分类无线电电子学、电信技术;
关键词
linear quadratic control; constraint theory; optimisation; duality (mathematics); control system analysis; Hilbert spaces; linear-quadratic control; nonconvex problems; global constrained optimization; Lagrange duality; Hilbert space; nonperiodic coeffic;

机译：线性二次控制;约束理论;优化;对偶（数学）;控制系统分析;希尔伯特空间;线性二次控制;非凸问题;全局约束优化;拉格朗日对偶;希尔伯特空间;非周期系数;

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专利

1. Nonconvex Problems of Global Optimization: Linear-Quadratic Control Problems with Quadratic Constraints [J] . A. Matveev, V. Yakubovich Dynamics and Control . 1997,第2期

机译：全局最优化的非凸问题：具有二次约束的线性二次控制问题
2. Nonconvex Problems of Global Optimization: Linear-Quadratic Control Problems with Quadratic Constraints [J] . A. Matveev, V. Yakubovich Dynamics and Control . 1997,第2期

机译：全局最优化的非凸问题：具有二次约束的线性二次控制问题
3. Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality [J] . David Yang Gao, Ning Ruan, Hanif D. Sherali Journal of Global Optimization . 2009,第3期

机译：具有正则和拉格朗日对偶关系的非凸约束全局优化问题的解和最优准则
4. Application of linear-quadratic control theory to the solution of special nonconvex problems of global constrained optimization [C] . Matveev A.S. American Control Conference . 1995

机译：线性二次控制理论在全局约束优化特殊非谐波问题解中的应用
5. Distributed optimization of nonconvex multiagent systems: Theory and applications. [D] . Song, Peiran. 2015

机译：非凸多主体系统的分布式优化：理论和应用。
6. Nonconvex prior image constrained compressed sensing (NCPICCS): Theory and simulations on perfusion CT [O] . J. C. Ramirez-Giraldo, J. Trzasko, S. Leng, -1

机译：非凸先验图像约束压缩传感（NCPICCS）：灌注CT的理论和仿真
7. Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality [O] . David Yang Gao, Ning Ruan, Hanif D. Sherali 2012

机译：非凸约束全局优化问题的解和最优性准则与规范和拉格朗日对偶之间的联系
8. Locating an Isolated Global Minimizer of a Constrained Nonconvex Program [R] . McCormick, G. P. 1979

机译：找到受约束的非凸规划的孤立全局最小化器

Application of linear-quadratic control theory to the solution of special nonconvex problems of global constrained optimization

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