Finite-time Stability Analysis And Control Of Multi-Agent Systems

In recent years,due to the rapid development of networks and multi-agent systems,more and more researchers have made in-depth research on the related issues of multi-agent systems.With the increasing demand of practical engineering for the system,it has become an important research direction to study how the multi-intelligent system can achieve stable state in a limited time.The finite-time stability algorithm is an indispensable part of it.In this paper,the finite-time stability analysis and control of discrete multi-agent systems are studied.The finite-time stability of discrete-time multi-agent systems with or without communication delay and with the same time-invariant communication network delay is studied.Firstly,finite-time stability of discrete-time multi-agent systems without communication delay is studied,the finite-time stability criterion is given by using the finite-time stability correlation theorem combined with Lyapunov method and Linear Matrix Inequality(LMI)knowledge.The feasibility of the proposed theory is verified by numerical simulation with matlab software.Combined with the finite-time stability correlation theorem and the knowledge of LMI,the criterion that the system can be stable in finite-time is given.Then,the finite-time stability of discrete multi-agent systems with constant communication delay is considered.The network predictive control method is used to compensate the communication delay.Finally,the finite-time stability criterion of discrete multi-agent systems with time-delay is simulated to verify the validity of the theory.