In this paper, we establish a robust version of the S-lemma that we use to characterize robust solutions for classes of homogeneous and non-homogeneous quadratic problems with a quadratic inequality constraint under interval uncertainty and a linear equality constraint. Necessary and sufficient conditions of global optimality of robust solution of these problems are given.

中文翻译：

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数据不确定性下二次优化问题的全局最优条件

在本文中，我们建立了S引理的鲁棒版本，用于描述在区间不确定性和线性相等约束下具有二次不等式约束的齐次和非齐次二次问题类别的鲁棒解。给出了这些问题的鲁棒解决方案的全局最优性的充要条件。