H∞ consensus for Markov jump multi-agent systems with partly unknown transition probabilities and multiplicative noise

This paper focuses on the H-infinity consensus control problem about Markov jump multi-agent systems with partly unknown transition probabilities and multiplicative noise. The transition probabilities of the Markov jumps are considered to be partly unknown, which are more applicable than the traditional assumption in Markov jump systems that all of them must be completely known. Sufficient conditions for H-infinity consensus control problem are derived by using less linear matrix inequalities. Finally, a simulation example is provided to show the validity of our results.

Automated summary

This paper focuses on the H-infinity consensus control problem of Markov jump multi-agent systems with partly unknown transition probabilities and multiplicative noise. The transition probabilities of the Markov jumps are considered to be partly unknown, which is more applicable in practical scenarios. Sufficient conditions for the H-infinity consensus control problem are derived using less linear matrix inequalities. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed approach.