This article introduces, and studies, the robust control Minkowski–Lyapunov inequality, which is a natural generalization of the recently introduced control Minkowski–Lyapunov inequality. The generalization considers the setting of parametrically uncertain linear discrete time systems. The necessary and sufficient conditions for the characterization and existence of Minkowski functions that verify the robust control Minkowski–Lyapunov inequality are derived. The article also characterizes, and establishes topological properties of, the corresponding robustly stabilizing set-valued control map.

中文翻译：

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鲁棒控制Minkowski–Lyapunov函数

本文介绍并研究了健壮的控制Minkowski-Lyapunov不等式，它是最近引入的控制Minkowski-Lyapunov不等式的自然概括。泛化考虑了参数不确定线性离散时间系统的设置。得出了表征和证明Minkowski-Lyapunov不等式鲁棒控制的Minkowski函数的特征的必要和充分条件。本文还描述并建立了相应的鲁棒稳定的集值控制图的拓扑特性，并建立了拓扑特性。