Randomly occurring leader-following consensus criterion for multi-agent systems with communication delay

This paper proposes new delay-dependent leader-following consensus criterion for multi-agent systems with time-varying delays. Specially, the randomly occurring connection information of leader is considered in the concerned system. By constructing a suitable Lyapunov-Krasovskii functional and utilizing reciprocally convex approach, new delay-dependent consensus criterion for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed method.