Abstract
This paper discusses the couple-group consensus problems for a class of heterogeneous multiagent networks including the following two cases: with communication and input time delays, respectively. Different from the related cooperative networks, two novel delayed group consensus protocols are designed based on the competitive relationship between the agents. Furthermore, we absolutely relax the in-degree balance and other restrictive preconditions which existed in the relevant works. Some sufficient algebraic criteria for the achievement of couple-group consensus and the upper bound of the input time delays are technically obtained via the frequency domain method and matrix theory, respectively. The results show that the achievement of the couple-group consensus depends on the second-order agents’ in-degree and the control parameters of the systems, whereas it is independent of the communication time delays. Meanwhile, the upper bound of the input time delay is determined by the control parameters and the in-degree of the first-order agents. Finally, the validity of the proposed results is verified by several simulated examples.
Highlights
Consensus is a typical problem of coordinate control of complex multiagent systems (MASs)
The results show that the achievement of the couple-group consensus depends on the second-order agents’ in-degree and the control parameters of the systems, whereas it is independent of the communication time delays
The upper bound of the input time delay is determined by the control parameters and the in-degree of the first-order agents
Summary
Consensus is a typical problem of coordinate control of complex multiagent systems (MASs). With the increasing demand for application, there are still many problems that need to be faced Such as most of the related works focus on the homogeneous MASs. complex systems are often heterogeneous in the field of practical engineering. In [14,15,16], the authors discussed the synchronization and consensus issues for heterogeneous systems with the influence of time delays, respectively. In [22, 23], the authors studied the group consensus for the cooperative and heterogeneous networks with and without input time delays, respectively. Inspired by the relevant research works, this paper will discuss the group consensus issues for the heterogeneous MASs with time delays. In denotes n-dimensional identity matrix. λi(Λ), det(Λ) denote the ith eigenvalue and the determinant of the matrix Λ, respectively
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