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 On the Group Controllability of Leader-Based Continuous-Time Multiagent Systems

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Bo Liu ◽  
Licheng Wu ◽  
Rong Li ◽  
Housheng Su ◽  
Yue Han
Keyword(s):  
Numerical Simulations ◽  
Multiagent Systems ◽  
Continuous Time ◽  
Entire Group ◽  
Multiple Leaders ◽  
Theoretical Results

The group controllability of continuous-time multiagent systems (MASs) with multiple leaders is considered in this paper, where the entire group is compartmentalized into a few subgroups. The group controllability concept of continuous-time MASs with multiple leaders is put forward, and the group controllability criteria are obtained for switching and fixed topologies, respectively. Finally, the numerical simulations are given to prove the validity of the theoretical results.

Design of an input amplitude-constrained discrete-time control system

1998 ◽  
Vol 212 (5) ◽  
pp. 339-344
Author(s):  
K Y Zhu ◽  
S M Krishnan
Keyword(s):  
Control System ◽  
Time Delay ◽  
Lyapunov Function ◽  
Discrete Time ◽  
System Model ◽  
Augmented System ◽  
Input Amplitude ◽  
Time Control ◽  
Regulation And Tracking ◽  
Stability Results

A discrete-time controller based on an augmented system is proposed. The controller globally stabilizes a class of type- m systems subject to an input amplitude constraint. It is shown that use of the augmented system model allows us to handle with ease the system with arbitrary zeros and especially time delay. Stability results for both regulation and tracking are established on the basis of Lyapunov function methods and simulations of the demonstration are also carried out.

scholarly journals Consensus of Discrete Time Second-Order Multiagent Systems with Time Delay

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
Wei Zhu
Keyword(s):  
Time Delay ◽  
Convergence Rate ◽  
Theoretical Result ◽  
Multiagent Systems ◽  
Discrete Time ◽  
Second Order ◽  
Sufficient Condition ◽  
Consensus Problem ◽  
Necessary And Sufficient Condition ◽  
Necessary And Sufficient

The consensus problem for discrete time second-order multiagent systems with time delay is studied. Some effective methods are presented to deal with consensus problems in discrete time multiagent systems. A necessary and sufficient condition is established to ensure consensus. The convergence rate for reaching consensus is also estimated. It is shown that arbitrary bounded time delay can safely be tolerated. An example is presented to illustrate the theoretical result.

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.

A competition model with herd behaviour and allee effect

Filomat ◽  
2019 ◽  
Vol 33 (8) ◽  
pp. 2529-2542
Author(s):  
Prosenjit Sen ◽  
Alakes Maiti ◽  
G.P. Samanta
Keyword(s):  
Time Delay ◽  
Numerical Simulations ◽  
Discrete Time ◽  
Local Stability ◽  
Allee Effect ◽  
Equilibrium Points ◽  
Uniform Boundedness ◽  
Competition Model ◽  
Discrete Time Delay ◽  
Herd Behaviour

In this work we have studied the deterministic behaviours of a competition model with herd behaviour and Allee effect. The uniform boundedness of the system has been studied. Criteria for local stability at equilibrium points are derived. The effect of discrete time-delay on the model is investigated. We have carried out numerical simulations to validate the analytical findings. The biological implications of our analytical and numerical findings are discussed.

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 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.

scholarly journals Construction of continuous abstractions for discrete-time time-delay systems

2020 ◽  
Author(s):  
Mobin Shahamat ◽  
Javad Askari ◽  
Abdalla Swikir ◽  
Navid Noroozi ◽  
Majid Zamani
Keyword(s):  
Time Delay ◽  
Discrete Time ◽  
Delay Systems ◽  
Time Delay Systems
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