论文标题
关于在限制开关下开关线性系统的稳定性
On stabilizability of switched linear systems under restricted switching
论文作者
论文摘要
本文涉及离散时间开关线性系统的稳定性，其所有子系统都是不稳定的，并且一组可接受的开关信号遵守子系统和子系统上的dell时间之间的开关预先指定的限制。我们在子系统矩阵上得出了足够的条件，以使开关系统在一组纯粹与时期的切换信号下呈指数稳定，遵守给定的限制。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。
This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable and the set of admissible switching signals obeys pre-specified restrictions on switches between the subsystems and dwell times on the subsystems. We derive 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 obeys the given restrictions. The main apparatuses for our analysis are (matrix) commutation relations between certain products of the subsystems matrices and graph-theoretic arguments.
