Broadcast Control of Markovian Multi-Agent Systems. Issue 2 (1st March 2016)

• Record Type: Journal Article
• Authors: Azuma, Shun-ichi; Baba, Ichiro; Sugie, Toshiharu
• Is Part Of: SICE journal of control, measurement, and system integration. Volume 9:Issue 2(2016)
• Page Start: 103
• Page End: 112
• Publication Date: 2016-03-01
• Subjects: multi-agent system -- broadcast control -- aggregate output -- Markov chains
• DOI: 10.9746/jcmsi.9.103
• Languages: English
• ISSNs: 1882-4889

Abstract

Abstract : 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.