Couple-group consensus for discrete-time heterogeneous multiagent systems with cooperative–competitive interactions and time delays

Jiang, Yiliu; Ji, Lianghao; Li, Qun; Yang, Shasha; Liao, Xiaofeng

doi:10.1016/j.neucom.2018.08.048

Cited by 42 publications

(39 citation statements)

References 24 publications

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“…Therefore, it is natural and necessary for us to analyze multi-agent systems with heterogeneous structure. Over the past ten years, some results on heterogeneous multi-agent systems have been achieved in [15], [17], [22]- [24], [28], [30]- [37]. In [31], a novel consensus protocol was proposed for high-ordered heterogeneous systems under the condition that the communication time-delays was uncertain and a necessary and sufficient condition was obtained to determine the existence of a high order consensus solution.…”

Section: Introductionmentioning

confidence: 99%

“…In [15],a novel group consensus protocol and a time-varying estimator of the uncertain parameters were put forward for the heterogeneous agents in the Euler-Lagrange system and the double-integrator system. In [22], some sufficient group consensus conditions were derived for a class of discrete heterogeneous systems which was composed of first-order and second-order agents with communication and input time delays. In [24], some sufficient algebraic criteria on couple-group consensus were derived and the upper bound of the input time delays could be computed for a heterogeneous multi-agent networks with communication and input time delays.…”

Section: Introductionmentioning

confidence: 99%

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The Weighted Couple-Group Consensus for a Kind of Continuous Heterogeneous Multi-Agent Systems Based on Self-Adaptive and Cooperative-Competitive Mechanism

Liu

et al. 2020

IEEE Access

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In this paper, the weighted couple-group consensus is investigated for a kind of continuous heterogeneous multi-agent systems in the cooperation-competition networks with time-delay. A novel weighted couple-group consensus protocol is proposed on basis of self-adaptive and cooperative-competitive mechanism. In this novel couple-group control protocol, self-adaptive regulation, weighted-distribution, cooperation-competition, position and velocity are considered. By applying the graph theory, complex frequency analysis method and linear algebra theory, some sufficient conditions have been given to guard the success of the couple-group consensus for this kind of heterogeneous multi-agent systems. Furthermore, the upper limit of the time delay may be computed if the weighted parameters are determined. The results show that the multi-agent system can converge to couple-group consensus state only if the upper bound input time-delay is satisfied the given time span. Some simulation examples show the validity of the obtained results. LI REN is currently pursuing the degree with the School of Automation, Chongqing University of Posts and Telecommunications, Chongqing, China. His current research interest are the group consensus of multiagent systems with switching topologies systems, and intelligent algorithms. CHAOWEN XIONG is currently pursuing the degree with the

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Weighted Couple-Group Consensus for a Kind of Continuous Heterogeneous Multi-Agent Systems Based on Self-Adaptive and Cooperative-Competitive Mechanism

Liu

et al. 2020

IEEE Access

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“…In [32], some sufficient group consensus conditions have been obtained for a kind of heterogeneous system with diverse input time delays based on frequency-domain analysis method and matrix theory. In [33], some sufficient couplegroup consensus conditions have been derived for a kind of discrete-time heterogeneous systems consisting of firstorder and second-order agents under the influence of communication and input time delays. In [34], Li et al studied the consensus problem in heterogeneous linear discrete-time MASs.…”

Section: Introductionmentioning

confidence: 99%

Weighted Couple‐Group Consensus Analysis of Heterogeneous Multiagent Systems with Cooperative‐Competitive Interactions and Time Delays

Xiong

et al. 2019

Complexity

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In this paper, the weighted couple-group consensus of continuous-time heterogeneous multiagent systems with input and communication time delay is investigated. A novel weighted couple-group consensus protocol based on cooperation and competition interaction is designed, which can relax the in-degree balance condition. By using graph theory, general Nyquist criterion and Gerschgorin disc theorem, the time delay upper limit that the system may allow is obtained. The conclusions indicate that there is no relationship between weighted couple-group consensus and communication time delay. When the agents input time delay, the coupling weight between the agents, and the systems control parameters are satisfied, the multiagent system can converge to any given weighted coupling group consistent state. The experimental simulation results verify the correctness of the conclusion.

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“…However, because of the various restrictions and the complexity of environments or the different task divisions, the dynamics of different agents in the same system may be different. That is, in a system, the dynamics of some agents are first ordered, and the others may be second ordered, even high ordered, which is called a mixed-order multiagent system or a heterogeneous multiagent system [20][21][22][23]. In addition, most of the consensus results on multiagent systems required the network to be connected, even undirected connected.…”

Section: Introductionmentioning

confidence: 99%

Consensus for Mixed‐Order Multiagent Systems over Jointly Connected Topologies via Impulse Control

Sun

Liao

et al. 2019

Complexity

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Because of the complexity of the environment, the dynamics of agents in the same system may be different. That is, the dynamics of some agents may be first ordered, and the others may be second ordered, even high ordered. In addition, the network topologies of systems are always varying over time. Because of these facts, this paper studies the consensus problem of the mixed-order multiagent networks over the jointly connected topologies. By adopting the impulse control technique, some control protocols are proposed based on the information of the agents themselves and their neighbors. Several simulation results are given to verify the correctness of the theoretical results.

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Couple-group consensus for discrete-time heterogeneous multiagent systems with cooperative–competitive interactions and time delays

Cited by 42 publications

References 24 publications

The Weighted Couple-Group Consensus for a Kind of Continuous Heterogeneous Multi-Agent Systems Based on Self-Adaptive and Cooperative-Competitive Mechanism

The Weighted Couple-Group Consensus for a Kind of Continuous Heterogeneous Multi-Agent Systems Based on Self-Adaptive and Cooperative-Competitive Mechanism

Weighted Couple‐Group Consensus Analysis of Heterogeneous Multiagent Systems with Cooperative‐Competitive Interactions and Time Delays

Consensus for Mixed‐Order Multiagent Systems over Jointly Connected Topologies via Impulse Control

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