convex optimization meaning in Chinese
凸规划
Examples
- For state systems and semistate ( singular ) system , respectively , the problems of robust stability and the design of robust controller have been investigated based on linear matrix inequality ( lmi ) , according to lyapunov - razumikhin stability and convex optimization theory , and barbalat ' s lemma and nonsingular linear transformation of model reduction , respectively
针对完全状态系统，采用lyapunovrazumikhin稳定性理论以及凸优化等重要理论，以线性矩阵不等式作为研究的工具，研究了鲁棒稳定性、鲁棒控制器的设计问题；针对不完全状态(奇异)系统，基于barbalat引理以及非奇异线性降阶变换，研究了奇异系统的鲁棒稳定性、鲁棒控制器的设计问题。 - First of all , for uncertain systems and state - delayed uncertain systems , the residual generators are constructed based on full - order filters , and the fault detection and isolation problems for these two classes of systems are reduced to h filtering problems by using h control theory . the fault detection filter design is formulated as convex optimization problem subject to lmi constraints in terms of linear matrix inequalities , which can be solved readily by using standard numerical software
首先,针对非时滞不确定系统和具有状态时滞的不确定系统,采用全阶滤波器构造残差产生系统,利用h控制理论将这两类系统的故障检测与分离问题转化为h滤波问题,采用线性矩阵不等式技术将鲁棒故障检测滤波器的设计转化为具有线性矩阵不等式约束的凸优化问题,可利用标准的数学软件求取。 - In this essay , some important concepts about slt are firstly introduced i . e . srm and vc dimension to illustrate that svm holds excellent capability of generalization . in addition , the concept and process of answering of svm is also introduced to illustrate that svm is a sort of convex optimization issue whose answer has characteristics of global optimum
本文首先引入了统计学习理论的一些关键概念:结构最小化原则和vc维等,以说明支持向量机具有良好的推广性能,接着介绍了支持向量机的概念和求解过程,从中可看出支持向量机是一种凸优化问题,其解具有全局最优的特点。