Article ID Journal Published Year Pages File Type
5102861 Physica A: Statistical Mechanics and its Applications 2017 27 Pages PDF
Abstract
In this paper, we study the leader-following exponential consensus of multi-agent system. Each agent in the system is described by nonlinear fractional order differential equation. Both the internal delay and coupling delay are taken into consideration. The heterogeneous impulsive control is used for ensuring the consensus of all agents. Based on Lyapunov function method and matrix analysis, some sufficient conditions for exponential consensus are obtained. Finally, some illustrative examples are given to show the effectiveness of the obtained results.
Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics
Authors
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