Distributed Consensus of Stochastic Delayed Multi-agent Systems Under Asynchronous Switching
研究了异步切换下具有非线性动力学的随机时滞多智能体系统的分布式指数一致性问题，通过证明随机切换时滞系统的比较原理，给出了分布式控制器存在的条件，并用两个例子验证了方法的有效性。
In this paper, the distributed exponential consensus of stochastic delayed multi-agent systems with nonlinear dynamics is investigated under asynchronous switching. The asynchronous switching considered here is to account for the time of identifying the active modes of multi-agent systems. After receipt of confirmation of mode's switching, the matched controller can be applied, which means that the switching time of the matched controller in each node usually lags behind that of system switching. In order to handle the coexistence of switched signals and stochastic disturbances, a comparison principle of stochastic switched delayed systems is first proved. By means of this extended comparison principle, several easy to verified conditions for the existence of an asynchronously switched distributed controller are derived such that stochastic delayed multi-agent systems with asynchronous switching and nonlinear dynamics can achieve global exponential consensus. Two examples are given to illustrate the effectiveness of the proposed method.