论文标题
具有部分信息的两个相互依存的马尔可夫跳线系统的分布式稳定
Distributed Stabilization of Two Interdependent Markov Jump Linear Systems with Partial Information
论文作者
论文摘要
在本文中，我们研究了两个相互依存的马尔可夫跳线系统（MJLSS）的稳定，其中有部分信息，其中相互依存的情况是一个系统的过渡取决于另一个系统的状态。首先，我们为两个相互依存的MJLS制定了一个框架，以捕获系统中各个实体之间的相互作用，其中无法直接观察到系统模式。相反，可以获得包含模式信息的信号。然后，根据可用系统状态信息（全局或本地）的范围，我们分别设计了集中和分布式控制器，这些控制器可以随机稳定整体相互依存的MJL。另外，在两种类型的信息结构下，系统的足够稳定条件都得到了发展。最后，我们提供了一个数字示例，以说明设计控制器的有效性。
In this paper, we study the stabilization of two interdependent Markov jump linear systems (MJLSs) with partial information, where the interdependency arises as the transition of the mode of one system depends on the states of the other system. First, we formulate a framework for the two interdependent MJLSs to capture the interactions between various entities in the system, where the modes of the system cannot be observed directly. Instead, a signal which contains information of the modes can be obtained. Then, depending on the scope of the available system state information (global or local), we design centralized and distributed controllers, respectively, that can stochastically stabilize the overall interdependent MJLS. In addition, the sufficient stabilization conditions for the system under both types of information structure are derived. Finally, we provide a numerical example to illustrate the effectiveness of the designed controllers.
