不等式的解

证明了鲁棒H∞次优控制问题可以归结为两个代数黎卡提不等式的解。

It is proposed that robust H ∞ sub optimization control problem can be solved by solving two algebraic Riccati inequalities .

一类随机集值KYFAN变分不等式的解及应用

The Solution of a Kind of Random Set valued Ky Fan Variational Inequality and its Application

对标准H∞控制问题，通过求Riccati不等式的解得到控制器的解析表达式。

For standard H ∞ control problem , analytic expression of controller is obtained through solving an algebraic matrix Riccati inequality .

讨论了几种推广形式的向量KYFAN极大极小原理的存在问题，作为应用，还讨论了向量支付映射的对策系统的Nash平衡点的存在性及一类向量隐变分不等式的解的存在性。

In this paper , we discuss the existence of solutions to generalized vector Ky Fan minimax principle , and we discuss the existence of Nash equilibria for vector payoff and an implicit vector variational inequality .

一般多值混合隐拟变分不等式的解的存在性与算法

Existence and Algorithm of Solutions for General Multivalued Mixed Implicit Quasi-Variational Inequalities

第二部分，研究非单调变分不等式的解的存在性条件。

Second , we study variational inequalities with nonmonotone mapping .

弱向量变分不等式的解集及其连通性

The Solution Sets and Connectedness for Weak Vector Variational Inequalities

设计条件以一系列线性矩阵不等式的解的形式给出。

The design conditions are given in terms of solutions to a set of linear matrix inequalities .

第三部分，利用辅助原理研究了广义集值非线性混合似变分不等式的解的存在性，收敛性及算法的稳定性。

In the last section , we introduce and study a class of variational-like inequalities by applying the auxiliary principle technique .

作为应用，得到一类参数向量优化问题和参数向量变分不等式的解的连续性。

As its applications , the continuity of solution mappings for a class of parametric vector optimization problem and parametric vector variational inequality is obtained .

本文研究二阶非线性微分时滞不等式的解在相圆柱面上的渐近性态，给出了振动的充分条件。

In this paper we study asymptotic behaviour of solutions of second order nonlinear delay differential inequality on cylindrical surface . We give some sufficient conditions for the oscillations .

本文研究一阶非线性时滞微分不等式的解，并由此得出一阶非线性时滞微分方程解的振动性的充分条件。

This paper is to study solutions of the first order nonlinear delay differential inequalities , and give sufficient condition which oscillation of solutions of the first order nonlinear belay differential equation .

利用分析技巧，给出了所提出的神经网络的所有解全局指数收敛到变分不等式的解的一些充分条件，同时得到指数收敛率的估计。

In those conditions all solutions of the proposed neural network were globally exponentially convergent to the unique solution to the linear variational inequality problem , and the estimation of the exponential convergence rates of the neural network was obtained .

广义投影下F隐变分不等式的可解性

Solvability of F-Implicit Variational Inequality Problems with Extended Projection Operators

Lyapunov不等式的最佳解与一般线性方法的可行性

Optimal solution of Lyapunov inequality and feasibility of general linear methods

此导引律设计简单，避免了H∞制导律中求Hamilton-Jacobi偏微分不等式的解析解。

Certainly , the guidance law is simple and avoids solving Hamilton-Jacobi partial differential inequation in H ∞ guidance law .

将H。分散控制器设计问题归结到，求取2N个矩阵不等式的可行解问题，其中N个相互耦合的矩阵不等式中只有第一个不等式是LMI，其他的均是非线性矩阵不等.式。

The design problem of the decentralized H ∞ controller is solved by 2N matrix inequalities , where N matrix inequalities are coupled each other , and only one is an LMI .

作为应用，还证明了大多数（在Baire分类意义下）拟-似变分不等式问题的解集是稳定的；

As a consequence , it deduces that the solution sets of most quasi-variational-like inequalities ( in the Baire category sense ) are stable ;

将PID调节器设计问题转化为局部状态反馈问题，再通过适当变换将PID调节器参数设计转化为求解一组线性矩阵不等式的可行解问题，从而可通过MATLAB中的LMI工具箱方便地求解。

The problem can be transformed to partial state feedback problem by choosing state variables properly , and finally to the problem of finding the feasible solution of a series of linear matrix inequalities , which can be solved by the LMI toolbox of MATLAB conveniently .

采用分段Lyapunov函数法，得到鲁棒稳定化控制律存在的充分条件，该条件被进一步等价表示成一组线性矩阵不等式的可解性问题。

Using subsection Lyapunov function method , sufficient conditions for the stability of ( closed-loop ) fuzzy system and the existence of such controller are derived and shown to be equivalent to the solvability of a certain linear matrix inequality ( LMI ) system .

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 .

奇异H~∞控制问题的二次矩阵不等式的可解性

Solvability of quadratic matrix inequalities of singular h ∞ control problems

求解广义混合单调变分不等式的预解算子方法

A resolvent operator method for the general mixed monotone variational inequalities

多值一般混合似变分不等式的可解性

Solvability of Multivalued General Mixed Variational - like Inequalities

变分不等式的正解及其解集的分歧结构&度理论方法

Degree of graphitization positive solutions of variational inequalities and its bifurcation structure & theoretic approach

作为它的应用讨论一个不等式系的解的存在性问题。

As its application , discuss the existence problem of solution for a system of inequalities .

混合准变分不等式的可解性

Solvability of Mixed Quasi Variational Inequalities

然后采用矩阵的正交补，把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解；

Then by using matrix orthogonal complement , the linear matrix inequality with linear matrix equality constraints as a strict LMI without constraints is further formulated .

通过一组线性矩阵不等式的可行解问题来设计这类具有控制输入约束的离散不确定线性系统的二次保性能控制器。

The design problem is for a discrete linear system with norm bounded time varying parameter uncertainty and control input constraints equivalent to the feasibility problem of a certain linear matrix inequality .

通过构造性的差分格式，将时滞相关鲁棒分散镇定控制器的存在条件转化为一列线性矩阵不等式的可行解问题。

By constructing difference format approach , the existing condition of robust decentralized stabilization controller for discrete time-delay systems can be checked by the solvability of a couple of linear matrix inequalities .