Couple-group consensus conditions for general first-order multiagent systems with communication delays

2018 ◽  
Vol 117 ◽  
pp. 37-44 ◽  
Author(s):  
Mojeed O. Oyedeji ◽  
Magdi S. Mahmoud
Keyword(s):  
Multiagent Systems ◽  
Communication Delays ◽  
Group Consensus ◽  
First Order

scholarly journals Couple-Group Consensus: A Class of Delayed Heterogeneous Multiagent Systems in Competitive Networks

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-11 ◽  
Author(s):  
Lianghao Ji ◽  
Yue Zhang ◽  
Yiliu Jiang
Keyword(s):  
Multiagent Systems ◽  
Time Delays ◽  
Heterogeneous Systems ◽  
Velocity Estimation ◽  
Communication Delays ◽  
Group Consensus ◽  
Distributed Coordination ◽  
First Order ◽  
Communication Time ◽  
Theoretical Results

This paper discusses the couple-group consensus issues of a class of heterogeneous multiagent systems containing first-order and second-order dynamic agents under the influence of both input and communication delays. In distinction to the existing works, a novel distributed coordination control protocol is proposed which is not only on the foundation of the competitive interaction between the agents but also has no virtual velocity estimation in the first-order dynamics. Furthermore, without the restrictive assumptions existing commonly in the related works, several sufficient algebraic criteria are established for the heterogeneous systems to realize couple-group consensus asymptotically. The obtained conclusions show that the achievement of the systems’ couple-group consensus intimately relates to the coupling weights between the agents, the systems control parameters, and the input time delays of the agents, while communication time delays between the agents are irrelevant to it. Finally, several simulations are illustrated to verify the effectiveness of the obtained theoretical results.

scholarly journals Couple-Group Consensus for Multiagent Systems via Time-Dependent Event-Triggered Control

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Huiyang Liu ◽  
Xiaoshuang Wang
Keyword(s):  
Multiagent Systems ◽  
Matrix Theory ◽  
Time Dependent ◽  
Communication Delays ◽  
Group Consensus ◽  
First Order ◽  
Zeno Behavior ◽  
The Matrix ◽  
Second Order Systems ◽  
Event Triggered

This paper investigates couple-group consensus problems for multiagent first-order and second-order systems. Several consensus protocols are proposed based on the time-dependent distributed event-triggered control. For the case of no communication delays, the time-dependent event-triggered strategies are applied to couple-group consensus problems. Based on the matrix theory, algebraic conditions for couple-group consensus are established. For the system with communication delays, based on event-triggered strategies, a Lyapunov-Krasovskii functional is constructed to prove the input-to-state stability of the systems. Moreover, Zeno behavior is excluded. Finally, numeral examples are given to illustrate the effectiveness of these results.

scholarly journals Group Consensus for Discrete-Time Heterogeneous Multiagent Systems with Input and Communication Delays

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Yiliu Jiang ◽  
Lianghao Ji ◽  
Xingcheng Pu ◽  
Qun Liu
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Time Delays ◽  
Matrix Theory ◽  
Sufficient Conditions ◽  
Frequency Domain Analysis ◽  
Communication Delays ◽  
Group Consensus ◽  
Cooperative Relationships ◽  
Input Time

Group consensus seeking is investigated for a class of discrete-time heterogeneous multiagent systems composed of first-order and second-order agents with both communication and input time delays. Considering two types of system topologies, novel protocols based on the competitive and cooperative relationships among the agents are presented, respectively. By matrix theory and frequency domain analysis method, the sufficient conditions solving consensus problem are obtained. The results show that the achievement of group consensus is bound up with the input time delays, coupling weights between the agents and the system’s control parameters, but it is irrelevant to the communication delays. Finally, numerical simulations are presented to illustrate the correctness of the theoretical results.

scholarly journals Finite-Time Group Consensus of Distributed Multiagent Systems Based on Competition Mechanism

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Yize Yang ◽  
Hongyong Yang ◽  
Fei Liu
Keyword(s):  
Multiagent Systems ◽  
Communication Technology ◽  
Finite Time ◽  
Dynamic Properties ◽  
Distributed Network ◽  
Group Consensus ◽  
Competition Mechanism ◽  
Modern Control Theory ◽  
First Order ◽  
Group Cooperation

With the development of communication technology, distributed cooperative controls of multiagent systems (MAS) have been applied in many fields. Based on the communication between the agents, multiple individual systems are composed of a distributed network. Since the function of the agents is different, the distributed network can be divided into many parts. For first-order/second-order dynamic MAS, group cooperation algorithms with the competition mechanism are proposed in this paper. By applying modern control theory and homogeneous theory, finite-time stabilities for the cooperation motion of dynamic MAS are analyzed. By studying the dynamic properties of agents, finite-time group consensus of distributed MAS based on directed topology is obtained. Finally, the system simulation results are given to illustrate the effectiveness of the conclusion.

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