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**Mean-square bounded consensus of discrete-time multi-agent systems with external disturbance.**
*(Chinese.
English summary)*
Zbl 1363.93008

Summary: This paper deals with the mean-square bounded consensus problem of second-order discrete-time multi-agent systems with stochastic bounded external disturbance under Markovian switching topological structures. Firstly, a control protocol is designed, which is based on the position and velocity information of each agent. Secondly, in the case of stochastic bounded external disturbance, the algebraic conditions for the closed-loop system to achieve the mean-square bounded consensus are obtained by using the methods of matrix analysis and Lyapunov function. Simultaneously, the upper bound of each agent state error is also given. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results.

### MSC:

93A14 | Decentralized systems |

68T42 | Agent technology and artificial intelligence |

93E03 | Stochastic systems in control theory (general) |

60J75 | Jump processes (MSC2010) |