In this paper, the problem of mixed |${H}_2$| and passive switching control of uncertain discrete time-delay switched systems is investigated via a switching signal selection. Lyapunov theory with Wirtinger inequality is applied to guarantee the mixed performance for discrete switched time-delay system. The used Linear Matrix Inequality variables are less than our past proposed results. Finally, the improvement of the developed results is illustrated via a numerical example.

中文翻译：

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具有不确定时滞的不确定离散切换系统的鲁棒混合H ₂和无源切换控制

本文讨论了| $ {H} _2 $ |的混合问题。通过切换信号的选择研究了不确定离散离散时滞切换系统的无源切换控制。应用具有维林格不等式的李雅普诺夫理论来保证离散切换时滞系统的混合性能。使用的线性矩阵不等式变量小于我们过去提出的结果。最后，通过数值示例说明了开发结果的改进。