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Semidefinite programming is a branch of convex optimization problem. Important applications of semidefinite programming exist in combinatorial optimization, approximation theory, system and control theory, and mechanical and electrical engineering.

半定规划是凸规划的一个重要分支,并且半定规划在组合优化、逼近理论、系统控制理论、机械及电子工程中有着广泛的应用。

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in these models, the localization problem is modeled as a convex optimization problem which takes the minimum distance error as the objective function, and the distance between nodes as the constraints, and then relaxed to an easy problem by related relaxation techniques.

模型中以最小化节点间距离误差为目标函数,节点间距离为约束,将节点定位问题建模成一个凸优化问题,并利用相关松弛技术将模型松弛为容易求解的问题。

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3、

This paper presents an interior trust region method for linear constrained LC ^ 1 convex optimization problems.

摘要本文提出一种解线性约束凸规划的数值方法.

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For some special cases, the deterministic convex optimization problems are derived.

对某些特殊的情形, 我们导出了鲁棒线性最优化的确定性等价问题.

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5、

A new method using convex optimization and projection is proposed to design the low-order cont roller.

提出一种将凸优化算法和投影原理相结合的降阶控制器设计新方法.

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6、

Robust control law with a smaller gain is received via solving a class convex optimization with LMI constrains.

该控制律的求解,借助求解一类具有线性矩阵不等式(LMI)约束的凸优化问题。

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Many important problems of system and control theory can be reformulated as linear matrix inequality convex optimization problems, which is numerically tractable.

系统与控制理论中的许多问题,都可转化为线性矩阵不等式约束的凸优化问题,从而简化其求解过程。

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Make a more comprehensive comparison and improvement about distributed convex optimization methods deal with model training.

对核心模型训练涉及的分布式的凸优化方法做了比较全面的对比和改进。

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9、

hence, the thesis does an in-depth study on the physical-layer security based on an with convex optimization as math tools. it focuses on the secret communications in multi-input single-output ( miso) systems and cognitive radio networks and their robustness design.

因此,以凸优化理论为数学工具,本文对基于人工噪声的物理层信息安全进行深入研究,重点研究多输入单输出(MISO)系统和认知无线电网络的保密通信的鲁棒性设计。

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11、

Time-Scale Decomposition Resource Allocation and Non-Convex Optimization in Broadband Wireless Networks

宽带无线网络分时间尺度资源分配与非凸优化

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the interior-point method for convex optimization is presented here as a computationally efficient tool.

推导给出该凸优化模型对应的拉格朗日函数及KKT条件,并引入凸优化内点法作为负荷分配的有效计算工具。

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By norm consistency principle and triangle inequality, the problems of minimizing the Frobenius norm of jump vector and the upper bound of quadratic cost function are turned into a convex optimization problem containing linear matrix inequalities constraints.

利用范数相容性原理和三角不等式,将最小化跳变向量Frobenius范数和二次型成本函数上界问题转化为一个具有线性矩阵不等式约束的凸优化问题。

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A fast iteration algorithm for one dimensional unconstraint optimization problems of convex functions is suggested.

本文给出一个解凸函数一维无约束最优化问题的快速迭代算法。

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A group of ellipsoidal invariant sets is designed off-line, and then constitutes a terminal constraint convex set whose coefficients are taken as on-line optimization variables.

通过离线设计一组椭圆不变集,并将其组合成一个终端约束凸集,其中凸集参数作为在线优化变量。

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For the continuous global optimization problems, a new convex filled function is given, which has two easily determinable parameters and overcomes some drawbacks of traditional convex filled function in calculation.

对连续的非线性全局最优化问题,给出了一个新的凸填充函数,该函数带有两个容易调节的参数,它克服了原有的凸填充函数在计算上的不足之处;

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vector variational inequality and set-valued optimization in a locally convex topological vector space

局部凸拓扑向量空间中的向量变分不等式与集值优化

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also, some results of convex functions are usually similar to the general optimization problem.

同样,由凸函数的最优化理论推导出来的结果,也往往类似于一般性问题的局部特征。

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19、

in theory, rpo is a non-convex and multimodal complex optimization problem involving nonlinear objective function, nonlinear equality and inequality constraints and both continuous and discrete variables. it is quite difficult to be solved quickly and accurately.

在理论研究中,无功优化是一种同时具有连续变量和离散变量、具有非线性的目标函数、非线性的等式和不等式约束的复杂优化问题,其快速准确求解相当困难。

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Convex analysis, Lagrangian relaxation, non differentiable optimization, and applications in integer programming.

凸分析 、 拉格朗日松弛法 、 不可微分函数最适化以及在整数规划上的应用.

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