Broadcast Control of Markovian Multi-Agent Systems

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This paper addresses broadcast control for a group of Markov chains. The problem studied here is to find a controller governing multiple Markov chains by observing the group performance and sending the same signal (corresponding to the transition probability) to all the Markov chains indiscriminatingly. As a solution to the problem, we consider here integral-type broadcast controllers and provide a sufficient condition for the controller gain to stabilize the resulting broadcast control system. The condition enables us to design the gain without the precise information on the system, such as the number of Markov chains. This will be an advantage in dealing with large-scale systems having uncertainty. It is also demonstrated by numerical simulation that the result is useful for constructing broadcast control systems.


  • SICE Journal of Control, Measurement, and System Integration

    SICE Journal of Control, Measurement, and System Integration 9(2), 103-112, 2016

    The Society of Instrument and Control Engineers


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