We solve the problem of constructing a digital controller superstabilizing a continuous-time switched system whose operation modes are interval linear systems. The proposed approach to stabilization includes constructing a continuous/discrete-time closed-loop system with a digital controller, passing to its discrete-time model, and constructing a controller that simultaneously superstabilizes all the interval discrete-time systems in the finite family formed by the modes of the discrete-time model.

中文翻译：

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开关区间线性系统的数字超稳定

我们解决了构建数字控制器超稳连续时间切换系统的问题，其操作模式为区间线性系统。所提出的稳定方法包括构建一个带有数字控制器的连续/离散时间闭环系统，传递到其离散时间模型，并构建一个控制器，该控制器同时超稳定有限族中的所有区间离散时间系统离散时间模型的模式。