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

Abstract

AbstractThis paper focuses on the 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 consensus control problem are derived by using less linear matrix inequalities. Finally, a simulation example is provided to show the validity of our results.