论文标题
基于数据的稳定最小居住时间的计算，用于离散时间开关线性系统
Data-based computation of stabilizing minimum dwell times for discrete-time switched linear systems
论文作者
论文摘要
我们提出了一种算法，用于计算离散时间切换线性系统的最小居住时间，而无需明确了解其子系统的状态空间模型。给定满足某些属性的子系统状态轨迹的一组有限轨迹，我们的算法涉及以下任务：首先，通过给定数据设计了多个lyapunov函数；其次，从这些功能中计算出一组相关标量。第三，稳定的最小停留时间是根据这些标量的函数确定的。提出了一个数值示例，以证明所提出的算法。
We present an algorithm to compute stabilizing minimum dwell times for discrete-time switched linear systems without the explicit knowledge of state-space models of their subsystems. Given a set of finite traces of state trajectories of the subsystems that satisfies certain properties, our algorithm involves the following tasks: first, multiple Lyapunov functions are designed from the given data; second, a set of relevant scalars is computed from these functions; and third, a stabilizing minimum dwell time is determined as a function of these scalars. A numerical example is presented to demonstrate the proposed algorithm.
