In this paper, we present a new prescribed-time distributed control method for consensus and containment of networked multiple systems. Different from both regular finitetime control (where the finite settling time is not uniform in initial conditions) and the fixed-time control (where the settling time cannot be preassigned arbitrarily), the proposed one is built upon a novel scaling function, resulting in prespecifiable convergence time (the settling time can be preassigned as needed within any physically allowable range). Furthermore, the developed control scheme not only ensures that all the agents reach the average consensus in prescribed finite time under undirected connected topology, but also ensures that all the agents reach a prescribed-time consensus with the root's state being the group decision value under the directed topology containing a spanning tree with the root as the leader. In addition, we extend the result to prescribed-time containment control involving multiple leaders under directed communication topology. Numerical examples are provided to verify the effectiveness and the superiority of the proposed control.

中文翻译：

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网络化多智能体系统的规定时间共识和遏制控制


在本文中，我们提出了一种新的规定时间分布式控制方法，用于网络多系统的共识和遏制。与常规有限时间控制（其中有限稳定时间在初始条件下不均匀）和固定时间控制（其中稳定时间不能任意预先分配）不同，所提出的控制方法建立在一种新颖的缩放函数之上，从而产生可预先指定的收敛时间（稳定时间可以根据需要在任何物理允许的范围内预先分配）。此外，所开发的控制方案不仅保证了无向连通拓扑下所有智能体在规定的有限时间内达到平均共识，而且保证了在无向连通拓扑下所有智能体以根状态为群决策值达到规定时间的共识。有向拓扑包含以根为领导的生成树。此外，我们将结果扩展到定向通信拓扑下涉及多个领导者的规定时间遏制控制。提供数值例子来验证所提出的控制的有效性和优越性。