Abstract
This paper investigated the couple-group consensus problems of the multiagent networks with the influence of communication and input time delays. Based on the frequency-domain theory, some algebraic criteria are addressed analytically. From the results, it is found that the input time delays and the coupling strengths between agents of the systems play a crucial role in reaching group consensus. The convergence of the system is independent of the communication delays, but it will affect the convergence rate of the system. Finally, several simulated examples are provided to verify the validity and correctness of our theoretical results.
Highlights
Over the past few years, increasing attention has been paid to the investigation of distributed cooperative control of multiagent networks due to its broad application in many areas, such as distributed sensor networks [1], congestion control in networks [2, 3], and flocking [4, 5]
From the results in Theorems 8 and 11, it is shown that the achievement of the group consensus of the systems is determined by the input time delays and the coupling weight among the agents
This paper investigated the couple-group consensus problem of multiagent networks with time delays
Summary
Over the past few years, increasing attention has been paid to the investigation of distributed cooperative control of multiagent networks due to its broad application in many areas, such as distributed sensor networks [1], congestion control in networks [2, 3], and flocking [4, 5]. Many reports about group consensus have been listed, such as, for second-order multiagent networks with time delays, the group consensus problem investigated in [12]. In [17], Zhao et al discussed couple-group consensus problems of second-order multiagent networks with fixed and stochastic switching topologies and provided a sufficient and necessary condition for the mean-square couple-group consensus. Based on the networks with bipartite topology, group consensus of first-order multiagent networks with and without time delays were investigated in [29], respectively. In [32], Lianghao and Xinyue discussed the group consensus problem for second-order multiagent networks with the influence of input and communication time delays. Inspired by the related works, this paper focuses on discussing the couple-group consensus of multiagent networks under the influence of time delays.
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