Affiliation: | 1. Department of Mathematics, Guizhou University, Guiyang, Guizhou, China
School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang, Guizhou, China;2. Department of Mathematics, Guizhou University, Guiyang, Guizhou, China;3. Department of Mathematical Analysis and Numerical Mathematics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Bratislava, Slovakia
Mathematical Institute, Slovak Academy of Sciences, Bratislava, Slovakia |
Abstract: | In this article, we investigate the mean-square consensus problem of multiagent systems with one leader and multiple followers. In consideration of the uncertain disturbance from external environment or internal change of system, the interaction topology and time-varying delay switch randomly which are regulated by a time-homogeneous Markovian chain. The distributed control protocol is designed based on the stochastic sampling information from its neighbors and the leader. Using stochastic Lyapunov theory and linear matrix inequality (LMI) approach, the sufficient condition is concluded to guarantee the mean-square consensus. For the undirected topology case, a low-dimensional LMI-based consensus criterion is further derived based on the matrix diagonalization method. Finally, a numerical simulation is provided to demonstrate the reasonability of the theoretical results. |