论文标题
随机切换和随机延迟的系统的稳定性
Stability of Stochastically Switched and Stochastically Time-Delayed Systems
论文作者
论文摘要
在本文中，我们介绍了患者第一均值稳定系统的概念。这样的系统是开关系统，它们是首先稳定的含义，即它们平均收敛到全球吸引人的固定点。他们也很有耐心，因此当将时间延迟引入系统时，他们不会失去第一（均值的稳定性）。通常，由于时间表是不稳定和表现不佳的患者的第一均值稳定性的来源，其状况比第一（第一（稳定））要强得多。这种患者稳定性的概念使人们可以设计无法通过时间延迟不稳定的系统。这也大大减少了对此类系统进行建模的困难，因为在患者系统中，时间延迟在很大程度上可以安全地忽略。本文的主要重点是给出足够的标准，该标准是一个系统是患者的第一均值稳定的，我们提供了许多示例来证明该标准的简单性。
In this paper we introduce the notion of a patient first-mean stable system. Such systems are switched systems that are first-mean stable meaning that they converge to a globally attracting fixed point on average. They are also patient so that they do not lose their first-mean stability when time-delays are introduced into the system. As time-delays are, in general, a source of instability and poor performance patient first-mean stability is a much stronger condition than first-mean stability. This notion of patient stability allows one to design systems that cannot be destabilized via time-delays. It also significantly reduces the difficulty of modeling such systems since in patient systems time-delays can, to a large extent, be safely ignored. The paper's main focus is on giving a sufficient criteria under which a system is patient first-mean stable and we give a number of examples that demonstrate the simplicity of this criteria.
