不等式组

求解线性丢番图方程组及不等式组的ABS算法

ABS Algorithms for Solving Linear Diophantine Equations and Inequations

关于Hilbert空间中一类集值映射变分不等式组

On variational inequalities with a class of set-value mappings in Hilbert space

基于序列LP的不等式组的解法及Matlab软件实现

A Solving Method of Linear Inequalities Based on LP Series and Its Computation with Matlab Software

第五章给出了求解超定线性丢番图方程组和不等式组的修正ABS算法。

Chapter five presents the modified ABS algorithms for solving linear overdetermined linear Diophantine equations and inequations .

第四章给出了求解线性丢番图不等式组的ABS算法及其在整线性规划中的应用。

Chapter four gives ABS algorithms for solving linear Diophantine inequations and their application in integer linear programming .

判别线性不等式组相容性的ALN法

The Method of Distinguishing the Compatibility of Linear System-ALN Method

耦合Riccati不等式组解的局部优化算法及其在微分对策中的应用

Partial Optimization Algorithm for Coupled Riccati Inequalities and Its Application in Differential Games

滚动H∞控制方法较好的解决了控制系统中的控制约束和状态约束问题，并且在线优化鲁棒性能，其核心算法是解线性矩阵不等式组。

Moving horizon H ∞ control is an excellent scheme to deal with control constraint and state constraint , and it can also optimize H ∞ performance on line .

多元Volterra线性积分不等式组及其对线性微分系统的应用

Linear System of Volterra Integral Inequalities in Several Variables and Its Application to Linear Differential Systems

多元线性Fredholm型积分方程组及积分不等式组

Multidimensional linear systems of fredholm-type integral equations and inequalities in several variables

阻尼Gauss-Newton方法解非线性不等式组

Damped Gauss-Newton method for solving nonlinear inequalities

随后二十多年的发展ABS算法扩展到可以求解最小二乘问题、不等式组、线性规划和具有线性约束的非线性规划等问题。

Throughout the following twenty years , ABS algorithms have been extended to solve the least squares , the inequality systems , linear programming and nonlinear programming with linear constraints etc.

广义Bihari型多项非线性积分不等式组

A multinomial Nonlinear Integral System of Inequalities of the Generalized Bihari Type

文中以线性矩阵不等式组（LMIs）的形式，给出了模糊性能评估器和控制器存在的充分条件。

Some sufficient conditions are derived for the existence of FPE and FC via sol-ving the linear matrix inequalities ( LMIs ) .

讨论了三种不同条件下具有VaR约束的均值-方差投资组合模型，并结合序列二次规划方法和不等式组的旋转算法求解。

Considering not short sale and under constraint of VaR , the paper proposed three different portfolio selection models and uses pivoting algorithms and the sequence of quadratic programming method solving the models .

本文提出一种不用画几何图形而用解不等式组的代数方法，此法对n（n≥3）重积分和变更单积分的顺序更为有效。

In this paper we give the algebraic method of not describing geometric figure , but using of solving a groupe of inequality . The method has more effect on n & th ( n ≥ 3 ) integral and changing the order of repeated integral .

利用参数依赖Lyapunov函数的思想，不再要求使用共同的Lyapunov矩阵来满足所有的线性矩阵不等式组，在模糊规则集数量比较大时，能显著的减少问题的保守性。

Based on the proposed parameter dependent Lyapunov stability theory , no common Lyapunov function is forced for all matrix inequalities , which can reduce conservatism extremely in the case where the number of rules is large .

推导得到了线性矩阵不等式组（LMIs），从而将结构的方差响应、控制力方差以及系统极点限制在预先给定的范围之内。

The general expression of linear matrix inequalities ( LMIs ) are deduced to satisfy the closed-loop poles and the steady variance responses of structure and control force with certain constraints assigned in advance .

然后再引入非线性互补函数，将K-T条件下的非线性互补问题中的不等式组转化为方程组，并再次引入参数光滑化，得到一系列光滑的方程组，最后采用经典牛顿法求解。

Then nonlinear complementarity function is introduced to transfer the inequalities into equalities , parameter is utilized to smooth them . Finally the classical Newton method is used to search for the optimal solution .

通过构造广义李雅谱诺夫函数和广义二次性能指标函数，以线性矩阵不等式组（LMIs）的形式给出了基于观测器的状态反馈弹性保成本控制器的设计方法。

In terms of Linear Matrix Inequalities ( LMIs ), a design method of the observer-based non-fragile guaranteed cost controller is obtained by constructing generalized Lyapunov function and generalized quadratic regulator on the basis of Lyapunov stability theory .

在H2范数的时域计算方法的基础上，关于连续广义系统进行了H2次优性能分析，得到了满足H2次优性能的线性矩阵不等式组的充要条件。

Based on the time domain method of computing H2 norm , H2 suboptimal performance analysis for the descriptor systems is presented . The necessary and sufficient conditions of the linear matrix inequalities that make the above systems satisfy the H2 suboptimal performance are obtained .

利用Kuhn-Tucker条件建立起由代数方程组和不等式组的解所给出的充分必要条件。

Then , by means of the Kuhn Tucker condition , we derive a necessary and sufficient condition for the solvability of the problem , which consists of a set of algebraic equations and inequalities .

研究了Hilbert空间中的一类广义非线性变分不等式组，运用η次微分算子的预解式技术和辅助原理技术，证明了广义非线性变分不等式组解的存在性和唯一性。

The author studied a new system of generalized nonlinear variational inequalities in Hilbert space . Using the resolvent operator technique of η - subdifferential operator and auxiliary principle , the existence and uniqueness theorem of solution for this kind of system of generalized nonlinear variational inequalities is got .

在20世纪早期，为了解决丢番图方程组或不等式组相关的问题，MacMahon提出分拆分析方法（即Omage算子）。

In the early 1900s , Major Percy A. MacMahon developed Partition Analysis ( i.e. , the Omega operator ) as a computational method for solving problems in connection with linear diophantine inequalities and equations .

运用这种方法，系统保性能和L2增益控制器设计将转化成求解一组线性矩阵不等式组的可解性问题，可以用软件较方便的求得结果。

It is shown that the closed loop system is globally stable with guaranteed cost or L_2 gain performance and the control law can be obtained by solving a set of Linear Matrix Inequalities that is numerically feasible with commercially available software .

此外，受分子生物学中一个实际问题的促动，我们还研究了包含多层and、or关系的可能不相容复杂不等式组（CSIPI）问题。

Besides , motivated by a practical problem from molecular biology we encountered , we have studied the complicated system of inequalities with possible inconsistency ( CSIPI ) involving multilevel " and ", " or " relationships .

关于一类多值映射变分不等式组

On a Class of Systems of Variational Inequalities with Multivalued Mappings

广义混合似变分不等式组的两步迭代算法

Two-step Iterative Methods for a System of Generalized Mixed Quasi-variational Inequalities

关于线性不等式组的ABS-SG算法

An ABS - SG Algorithm of a Group of Linear Inequalities

解线性等式与不等式组的直接法

A Class of Direct Methods for Solving Linear Equality and Inequality