论文标题
关于开关线性系统稳定开关信号的存在的注释
A note on the existence of stabilizing switching signals for switched linear systems
论文作者
论文摘要
本文介绍了所有子系统不稳定的离散时间切换线性系统的稳定性。我们在子系统矩阵上介绍了足够的条件，以使开关系统在一组纯粹的时间依赖性切换信号下呈指数稳定，这些信号被允许激活所有子系统。我们分析的主要设备是（矩阵）子系统矩阵和图理论论证的某些产品之间的换向关系。我们提出了一个数值实验，以证明我们的结果。
This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable. We present sufficient conditions on the subsystems matrices such that a switched system is globally exponentially stable under a set of purely time-dependent switching signals that are allowed to activate all subsystems. The main apparatuses for our analysis are (matrix) commutation relations between certain products of the subsystems matrices and graph-theoretic arguments. We present a numerical experiment to demonstrate our results.
