Distributed Stabilization of State Interdependent Markov Jump LinearSystem-of-Systems with Partial Information

In this paper, we study the stabilization of a class of state interdependent Markov jump linear systems (MJLS) with partial information. First, we formulate a framework for the interdependent multiple 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 state 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 controller.

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