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 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 Output Feedback Control for Couple-Group Consensus of Multiagent Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Huanyu Zhao ◽  
Hongbiao Zhou ◽  
Zhongyi Tang
Keyword(s):  
Feedback Control ◽  
Multiagent Systems ◽  
Discrete Time ◽  
Output Feedback ◽  
Sufficient Conditions ◽  
Output Feedback Control ◽  
Group Consensus ◽  
System Transformation ◽  
Discrete Time Case ◽  
The Stability

This paper deals with the couple-group consensus problem for multiagent systems via output feedback control. Both continuous- and discrete-time cases are considered. The consensus problems are converted into the stability problem of the error systems by the system transformation. We obtain two necessary and sufficient conditions of couple-group consensus in different forms for each case. Two different algorithms are used to design the control gains for continuous- and discrete-time case, respectively. Finally, simulation examples are given to show the effectiveness of the proposed results.

scholarly journals Distributed Consensus for Discrete-Time Directed Networks of Multiagents with Time-Delays and Random Communication Links

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Yurong Liu ◽  
Hamid Reza Karimi ◽  
Xiaohui Liu
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Analytical Techniques ◽  
Time Varying ◽  
Mean Square ◽  
Distributed Consensus ◽  
Communication Links ◽  
Leader Following

This paper is concerned with the leader-following consensus problem in mean-square for a class of discrete-time multiagent systems. The multiagent systems under consideration are the directed and contain arbitrary discrete time-delays. The communication links are assumed to be time-varying and stochastic. It is also assumed that some agents in the network are well informed and act as leaders, and the others are followers. By introducing novel Lyapunov functionals and employing some new analytical techniques, sufficient conditions are derived to guarantee the leader-following consensus in mean-square for the concerned multiagent systems, so that all the agents are steered to an anticipated state target. A numerical example is presented to illustrate the main results.

scholarly journals On Couple-Group Consensus of Multiagent Networks with Communication and Input Time Delays

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Liang-hao Ji ◽  
Xin-yue Zhao
Keyword(s):  
Convergence Rate ◽  
Crucial Role ◽  
Time Delays ◽  
Domain Theory ◽  
Communication Delays ◽  
Group Consensus ◽  
Multiagent Networks ◽  
Coupling Strengths ◽  
Input Time ◽  
Theoretical Results

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.

scholarly journals Heterogeneous and Competitive Multiagent Networks: Couple-Group Consensus with Communication or Input Time Delays

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Nanxiang Yu ◽  
Lianghao Ji ◽  
Fengmin Yu
Keyword(s):  
Upper Bound ◽  
Time Delays ◽  
Matrix Theory ◽  
Cooperative Networks ◽  
Frequency Domain Method ◽  
Control Parameters ◽  
Group Consensus ◽  
Communication Time ◽  
Multiagent Networks ◽  
Input Time

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.

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 Partial Component Consensus of Discrete-Time Multiagent Systems

2019 ◽  
Vol 2019 ◽  
pp. 1-5
Author(s):  
Wenjun Hu ◽  
Gang Zhang ◽  
Zhongjun Ma ◽  
Binbin Wu
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Matrix Theory ◽  
Pinning Control ◽  
Directed Network ◽  
Strong Function ◽  
Partial Stability ◽  
Partial Component ◽  
The Matrix ◽  
Error System

The multiagent system has the advantages of simple structure, strong function, and cost saving, which has received wide attention from different fields. Consensus is the most basic problem in multiagent systems. In this paper, firstly, the problem of partial component consensus in the first-order linear discrete-time multiagent systems with the directed network topology is discussed. Via designing an appropriate pinning control protocol, the corresponding error system is analyzed by using the matrix theory and the partial stability theory. Secondly, a sufficient condition is given to realize partial component consensus in multiagent systems. Finally, the numerical simulations are given to illustrate the theoretical results.

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