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

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
Xingcheng Pu ◽  
Chaowen Xiong ◽  
Lianghao Ji ◽  
Longlong Zhao
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Time Delays ◽  
Multiagent System ◽  
Experimental Simulation ◽  
Group Consensus ◽  
Consensus Protocol ◽  
Consensus Analysis ◽  
Communication Time ◽  
Nyquist Criterion

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.

scholarly journals Group Consensus of Heterogeneous Multiagent Systems with Time Delay

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Weixun Li ◽  
Liqiong Zhang
Keyword(s):  
Time Delay ◽  
Multiagent Systems ◽  
Control Algorithm ◽  
Sufficient Conditions ◽  
Lyapunov Stability Theory ◽  
Linear Matrix ◽  
Matrix Inequality ◽  
Group Consensus ◽  
Communication Time ◽  
Theoretical Results

In this paper, a neighbour-based control algorithm of group consensus is designed for a class of hybrid-based heterogeneous multiagent systems with communication time delay. We consider the statics leaders and active leaders, respectively. The original systems are transformed into new error systems by transformation. On the basis of the systems, applying Lyapunov stability theory and adopting the linear matrix inequality method, sufficient conditions which guarantee the heterogeneous multiagent systems stability are obtained. To illustrate the validity of theoretical results, some numerical simulations are given at the end of the paper.

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 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 Consensus of Fractional-Order Multiagent Systems with Nonuniform Time Delays

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Jun Liu ◽  
Kaiyu Qin ◽  
Wei Chen ◽  
Ping Li ◽  
Mengji Shi
Keyword(s):  
Multiagent Systems ◽  
Fractional Order ◽  
Time Delays ◽  
External Environment ◽  
Domain Theory ◽  
Dynamical Model ◽  
Integer Order ◽  
The Laplace Transform ◽  
Simulation Results ◽  
Theoretical Results

Due to the complex external environment, many multiagent systems cannot be precisely described or even cannot be described by an integer-order dynamical model and can only be described by a fractional-order dynamical model. In this paper, consensus problems are investigated for two types of fractional-order multiagent systems (FOMASs) with nonuniform time delays: FOMAS with symmetric time delays and undirected topology and FOMAS with asymmetric time delays and directed topology. Employing the Laplace transform and the frequency-domain theory, two delay margins are obtained to guarantee the consensus for the two types of FOMAS, respectively. These results are also suitable for the integer-order dynamical model. Finally, simulation results are provided to illustrate the effectiveness of our theoretical results.

scholarly journals Formation-Containment Control of Second-Order Multiagent Systems via Intermittent Communication

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Mao-Dong Xia ◽  
Cheng-Lin Liu ◽  
Fei Liu
Keyword(s):  
Multiagent Systems ◽  
Lyapunov Functions ◽  
Second Order ◽  
Control Algorithms ◽  
Distributed Coordination ◽  
Time Intervals ◽  
Containment Control ◽  
Convergence Conditions ◽  
Intermittent Communication ◽  
Theoretical Results

This paper investigates the formation-containment control of second-order multiagent systems with intermittent communication. Distributed coordination control algorithms are proposed under aperiodic intermittent communication, where each agent only communicates with its neighboring agents on some disconnected time intervals. By means of constructing Lyapunov functions, sufficient convergence conditions are obtained for the leaders reaching a prescribed formation asymptotically and the followers converging into the convex hull formed by leaders asymptotically, respectively. Besides, sufficient convergence conditions are also provided for second-order multiagent systems converging to the desired formation-containment under time-varying communication delay and intermittent communication. Finally, the validity of theoretical results is illustrated by numerical simulations.

Multiconsensus of first-order multiagent systems with directed topologies

2020 ◽  
Vol 34 (23) ◽  
pp. 2050240
Author(s):  
Xiao-Wen Zhao ◽  
Guangsong Han ◽  
Qiang Lai ◽  
Dandan Yue
Keyword(s):  
Multiagent Systems ◽  
Matrix Theory ◽  
Sufficient Conditions ◽  
Consensus Problem ◽  
Multiple Agents ◽  
First Order ◽  
The Matrix ◽  
Directed Topologies ◽  
Necessary And Sufficient ◽  
Theoretical Results

The multiconsensus problem of first-order multiagent systems with directed topologies is studied. A novel consensus problem is introduced in multiagent systems — multiconsensus. The states of multiple agents in each subnetwork asymptotically converge to an individual consistent value in the presence of information exchanges among subnetworks. Linear multiconsensus protocols are proposed to solve the multiconsensus problem, and the matrix corresponding to the protocol is designed. Necessary and sufficient conditions are derived based on matrix theory, under which the stationary multiconsensus and dynamic multiconsensus can be reached. Simulations are provided to demonstrate the effectiveness of the theoretical results.

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