This article treats global uniform exponential stability (GUES) of discrete-time switched linear systems under restricted switching. Given admissible minimum and maximum dwell times, we provide sufficient conditions on the subsystems under which they admit a set of switching signals that obeys the given restrictions on dwell times and preserves stability of the resulting switched system. Our analysis relies on combinatorial arguments applied to matrix commutators. The proposed set of stabilizing switching signals is characterized in terms of duration of activation of Schur stable subsystems and non-consecutive activation of distinct unstable subsystems.

本文讨论了受限切换下离散时间切换线性系统的全局一致指数稳定性（GUES）。在给定的最小和最大停留时间允许的情况下，我们在子系统上提供了充分的条件，在这些条件下，子系统可以接受一组开关信号，这些信号应遵守给定的停留时间限制并保持最终开关系统的稳定性。我们的分析依赖于应用于矩阵换向器的组合参数。所提议的稳定开关信号集的特征在于Schur稳定子系统的激活持续时间和不同的不稳定子系统的非连续激活。