Dynamics Of Multi-Agent Systems On Time Scales

In recent years,with the rapid development of multi-agent system,coordination and cooperation control has been becoming a hot topic in control field.As the basis of coordination and cooperation,finite-time cohesive stability and consensus have been focused by researchers in related fields.The theory of calculus on time scales unified the continuous and discrete analysis of dynamic differential equation.It not only provides an available tool for studying dynamics of complex.differential equations,but also contributes to researching the multi-agent system on time scales in theoretics and applications.This thesis principally analyze swarm stability and consensus control of distributed delayed multi-agent system on time scales.The main contents and research outputs of this thesis are threefold.(1)swarm dynamics of finite distributed delayed multi-agent systems on hZ time scales are discussed.Based on Lyapunov stability method and calculus on time scales,finite-time swarm stability of multi-agent system is investigat-ed.(2)swarm dynamics of finite distributed delayed multi-agent systems on arbitrary time scales are studied.By utilizing mean-value theorem on time scales and Lyapunov stability method,finite-time swarm stability of multi-agent system are achieved.(3)Consensus of multi-agent system with distributed control on time scales are researched.Employing calculus on time scales,Lyapunov stability method and linear matrix in-equality(LMI)tool,new criterion for globally exponential consensus of multi-agent system on time scales are derived.