scholarly journals Networked Convergence of Fractional-Order Multiagent Systems with a Leader and Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-6
Author(s):  
Yuntao Shi ◽  
Junjun Zhang
Keyword(s):  
Numerical Simulations ◽  
Multiagent Systems ◽  
Fractional Order ◽  
Discrete Time ◽  
Sampling Interval

This paper investigates the convergence of fractional-order discrete-time multiagent systems with a leader and sampling delay by using Hermite-Biehler theorem and the change of bilinearity. It is shown that such system can achieve convergence depending on the sampling intervalh, the fractional-orderα, and the sampling delayτand its interconnection topology. Finally, some numerical simulations are given to illustrate the results.

scholarly journals Group Controllability of Discrete-Time Time-Delayed Multiagent Systems with Multiple Leaders

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Bo Liu ◽  
Qing An ◽  
Licheng Wu ◽  
Rong Li ◽  
Housheng Su ◽  
...  
Keyword(s):  
Time Delay ◽  
Numerical Simulations ◽  
Multiagent Systems ◽  
Discrete Time ◽  
Controllability Problem ◽  
Augmented System ◽  
Multiple Leaders

The group controllability is a unique distinct perspective and a further generalization of the controllability problem of discrete-time time-delayed multiagent systems (MASs) with multiple leaders. The group controllability concept of discrete-time time-delayed MASs with multiple leaders is proposed, its equivalent augmented system without time delay is reformulated, and the group controllability criteria are obtained in this paper. Numerical simulations are presented finally.

scholarly journals Bipartite Consensus of Linear Discrete-Time Multiagent Systems with Exogenous Disturbances under Competitive Networks

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Yi Yuan ◽  
Shamrie Sainin Mohd ◽  
Yanhui Zhu
Keyword(s):  
Numerical Simulations ◽  
Multiagent Systems ◽  
Discrete Time ◽  
Output Feedback ◽  
Disturbance Observer ◽  
State Feedback ◽  
The State ◽  
Exogenous Disturbances ◽  
Bipartite Consensus ◽  
The Given

This paper investigates the bipartite consensus of linear discrete-time multiagent systems (MASs) with exogenous disturbances. A discrete-time disturbance-observer- (DTDO-) based technology is involved for attenuating the exogenous disturbances. And both the state feedback and observer-based output feedback bipartite consensus protocols are proposed by using the DTDO method. It turned out that bipartite consensus can be realized under the given protocols if the topology is connected and structurally balanced. Finally, numerical simulations are presented to illustrate the theoretical findings.

scholarly journals Consensus of Multi-Integral Fractional-Order Multiagent Systems with Nonuniform Time-Delays

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-24 ◽  
Author(s):  
Jun Liu ◽  
Wei Chen ◽  
Kaiyu Qin ◽  
Ping Li
Keyword(s):  
Numerical Simulations ◽  
Frequency Domain ◽  
Multiagent Systems ◽  
Fractional Order ◽  
Time Delays ◽  
Multiple Integral ◽  
Frequency Domain Method ◽  
Double Integral ◽  
Single Integral ◽  
Special Case

Consensus of fractional-order multiagent systems (FOMASs) with single integral has been wildly studied. However, the dynamics with multiple integral (especially double integral to sextuple integral) also exist in FOMASs, and they are rarely studied at present. In this paper, consensus problems for multi-integral fractional-order multiagent systems (MIFOMASs) with nonuniform time-delays are addressed. The consensus conditions for MIFOMASs are obtained by a novel frequency-domain method which properly eliminates consensus problems of the systems associated with nonuniform time-delays. Besides, the method revealed in this paper is applicable to classical high-order multiagent systems which is a special case of MIFOMASs. Finally, several numerical simulations with different parameters are performed to validate the correctness of the 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.

Adaptive Synchronization of a Stochastic Fractional-Order System

2015 ◽  
Vol 733 ◽  
pp. 939-942
Author(s):  
Xiao Jun Liu
Keyword(s):  
Numerical Simulations ◽  
Fractional Order ◽  
Stochastic System ◽  
Fractional Order System ◽  
Adaptive Synchronization ◽  
Order System ◽  
Unknown Parameters ◽  
Adaptive Laws

In this paper, adaptive synchronization of a stochastic fractional-order system with unknown parameters is studied. Firstly, the stochastic system is reduced into the equivalent deterministic one with Laguerre approximation. Then, the synchronization for the system is realized by designing appropriate controllers and adaptive laws of the unknown parameters. Numerical simulations are carried out to demonstrate the effectiveness of the controllers and laws.

Leader-following consensus of discrete-time multiagent systems with time-varying delay based on large delay theory

2017 ◽  
Vol 417 ◽  
pp. 236-246 ◽  
Author(s):  
Huiwei Liu ◽  
Hamid Reza Karimi ◽  
Shengli Du ◽  
Weiguo Xia ◽  
Chongquan Zhong
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Time Varying ◽  
Large Delay ◽  
Time Varying Delay ◽  
Leader Following ◽  
Varying Delay
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