H∞ consensus control with spectrum constraints for stochastic multi-agent systems subject to (x, u, v)-dependent noises

Abstract

Abstract This paper is concerned with the problem of H∞ consensus control with spectrum constraints for continuous-time multi-agent systems (MASs) with (x, u, v)-dependent noises. By means of the spectrum technique, the definition of ( − β , − α ) -stability is introduced, and the relationship between the convergence rate of state responses and the ( − β , − α ) -stability is discussed for the closed-loop system. The aim of the addressed problem is to design a static output feedback controller such that the closed-loop system is ( − β , − α ) -stable and the prescribed H∞ performance requirement is satisfied. In virtue of the stochastic analysis method and Kronecker product, sufficient conditions are obtained for the existence of H∞ consensus controller. Two examples are provided to illustrate the availability of the proposed techniques.