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The notion of affine quadratic stability is proposed for uncertain delayed systems. Based on such a notion, methods of robust stability and robust H〓 performance analysis for uncertain linear delayed systems with affine parameter uncertainty are developed by using linear matrix inequalities.

本章提出了不确定时滞系统仿射二次稳定的概念,对于具有仿射参数不确定性的线性时滞系统,基于仿射二次稳定概念,利用线性矩阵不等式给出了鲁棒稳定性和鲁棒H〓性能分析方法。

Inequalities in the proof of college entrance examination, often with the series, conics, trigonometric functions,"Three Second," the number of permutation and combination of combining the answers to questions.

高考中证明不等式问题,常常是与数列、二次曲线、三角函数、"三个二次"、排列组合数等相结合的解答题。

For solving problem (1), this dissertation first presents a sufficient and necessary condition by dealing with inequalities using projection operator in convex analysis, and then proposes a kind of new neural network model based on the constraint domain:〓(2) Where P is a projection operator on Q.

本文利用凸分析中的投影算子处理不等式约束,首先给出二次规划问题(1)解存在的充分和必要条件,据于此提出一种新的基于约束区域神经网络模型〓(2)来进行求解,其中P为Q上的投影算子。

Then, through quadratic separators, the sufficient condition of the fault tolerant controller existence can be transformed into the problem of solving some limited number of linear matrix inequalities, including each vertex of the convex polyhedron.

然后,通过二次可分原理,求解只包含关于凸多面体各顶点的有限个线性矩阵不等式,给出了容错控制器存在的充分条件。

Convex programming studies the case when the objective function is convex and the constraints, if any, form a convex set.

二次规划的目标函数可以有二次条件,而设置必须指定与线性等式和不等式。

In this paper, combined the generalized projection technique and the idea of strongly sub-feasible direction method, a new sequential quadratic programming algorithm for inequality constrained optimization problems is presented.

本文结合广义投影技术和强次可行方向法的思想,给出了一个新的求解不等式约束优化问题的序列二次规划算法。

In the model, the non-sensitive loss function was replaced by quadratic loss function and the inequality constraints were replaced by equality constraints.

在该模型中,用二次损失函数取代支持向量机中的不敏感损失函数,将不等式约束条件变为等式约束,从而将二次规划问题转换为线性方程组的求解,并提出对核函数的盯参数进行动态选取。

The non-sensitive loss function is replaced by quadratic loss function and the inequality constraints are replaced by equality constraints. Consequently, quadratic programming problem is simplified as the problem of solving linear equation groups.

用二次损失函数取代支持向量机中的不敏感损失函数,将不等式约束条件变为等式约束,从而将二次规划问题转变为线性方程组的求解。

First, a new integral inequality for quadratic terms is established by using the Park inequality. Next, the integral inequality in combination with the Lyapunov-Krasovskii functional method is used to derive a new delay dependent sufficient condition based on LMI which can guarantee that the closed-loop system is not only internal asymptotically stable but also with the prescribed H-infinity performance via the slow subsystem's memoryless state feedback.

首先利用Park不等式建立了一个基於二次型项的积分不等式,然后利用Lyapunov-Krasovskii泛函方法,获得了系统经慢子系统的无记忆状态反馈后不仅内部稳定,而且具有给定的H性能的,基於LMI的时滞相关充分条件。

Secondly, the problem of observer design for Lipschitz switched nonlinear systems is considered. By proposing a proper switching strategy and utilizing Schur complement formula and the related notion of LMI, we design a quadratically stable observer which can be used for both finite and infinite switched nonlinear systems. The main result is given in the form of linear matrix inequality. Simulations validate the correctness of the presented algorithms. The simplicity of the design algorithm makes it easy to be carried out.

通过设计适当的切换策略,利用Schur补公式和线性矩阵不等式的相关知识,给出了一种全局二次稳定的观测器的设计方案,这种方案适用于有限和无限切换系统,主要结果以线性矩阵不等式的形式给出,通过仿真实例验证了所提方案的正确有效性,该部分设计思路简单、易实现。

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