针对最小化问题展开研究，先对具有线性矩阵不等式约束条件的线性目标函数的最小化问题给出具体的解释，并指出了该方法在控制论领域中时滞系统综合问题中的具体应用，然后给出广义特征值的最小化问题的解释，并通过具体实例说明该方法在时滞系统时滞相关问题中的应用．%In this paper, the feasibility problems and minimization problems in the toolbox of linear matrix inequalities are described, and its application in control systems problems is showed by a detailed explanation of feasibility problems. Next, minimization problem is studied. Minimization problem with linear matrix inequalities constrainting linear objective function is given a specific explanation, and a specific application is pointed out in the field of delay systems in control systems. Then the minimization problem with the generalized eigenvalue is explained, and its applications are explained in the delay systems of delay dependent.
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