scholarly journals Coordinated Tracking for Nonlinear Multiagent Systems under Variable-Time Impulsive Control

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Yuan Tian ◽  
Chuandong Li ◽  
Xujun Yang ◽  
Yiyan Han
Keyword(s):  
Numerical Simulation ◽  
Multiagent Systems ◽  
Tracking Control ◽  
Stability Property ◽  
Impulsive Control ◽  
Tracking Problem ◽  
Comparison System ◽  
Variable Time ◽  
Coordinated Tracking ◽  
Theoretical Results

This paper addresses variable-time impulsive control for coordinated tracking problem in nonlinear multiagent systems. To make followers coordinately track the leader, a variable-time impulsive controller is designed. Under some well-selected conditions, the comparison system of variable-time impulsive tracking control system is constructed by employing B-equivalence method. And we theoretically demonstrate that the two systems have the same stability property. Coordinated tracking criteria of multiagent systems are obtained by considering the comparison system. Numerical simulation is also provided to illustrate the correctness of theoretical results and the efficiency of the variable-time impulsive controller.

scholarly journals Impulsive Cluster Anticonsensus of Discrete Multiagent Linear Dynamic Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Liping Zhang ◽  
Haibo Jiang
Keyword(s):  
Numerical Simulation ◽  
Dynamic System ◽  
Multiagent Systems ◽  
Dynamic Systems ◽  
Sufficient Conditions ◽  
Linear Dynamic System ◽  
Linear Dynamic Systems ◽  
Important Type ◽  
Linear Dynamic ◽  
Theoretical Results

Cluster anticonsensus is another important type consensus of multiagent systems. In this paper, we investigate the problem of impulsive cluster anticonsensus of discrete multiagent linear dynamic systems. Firstly, an impulsive protocol is designed to achieve the cluster anticonsensus. Then sufficient conditions are given to guarantee the cluster anticonsensus of the discrete multiagent linear dynamic system based on theQ-theory. Numerical simulation shows the effectiveness of our theoretical results.

Effects of variable-time impulses on global exponential stability of Cohen–Grossberg neural networks

2017 ◽  
Vol 10 (08) ◽  
pp. 1750117 ◽  
Author(s):  
Xianxiu Zhang ◽  
Chuandong Li ◽  
Tingwen Huang ◽  
Hafiz Gulfam Ahmad
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Global Exponential Stability ◽  
Equilibrium Points ◽  
Fixed Time ◽  
Stability Criteria ◽  
Impulsive Systems ◽  
Comparison System ◽  
Variable Time ◽  
Theoretical Results

We investigate the global exponential stability of Cohen–Grossberg neural networks (CGNNs) with variable moments of impulses using B-equivalence method. Under certain conditions, we show that each solution of the considered system intersects each surface of discontinuity exactly once, and that the variable-time impulsive systems can be reduced to the fixed-time impulsive ones. The obtained results imply that impulsive CGNN will remain stability property of continuous subsystem even if the impulses are of somewhat destabilizing, and that stabilizing impulses can stabilize the unstable continuous subsystem at its equilibrium points. Moreover, two stability criteria for the considered CGNN by use of proposed comparison system are obtained. Finally, the theoretical results are illustrated by two examples.

scholarly journals On the Impulsive Synchronization Control for a Class of Chaotic Systems

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Bo Wang ◽  
Peng Shi ◽  
Xiucheng Dong
Keyword(s):  
Numerical Simulation ◽  
Control Theory ◽  
Lyapunov Functional ◽  
Chaos Synchronization ◽  
Chaotic Systems ◽  
Impulsive Control ◽  
Synchronization Control ◽  
Practical Application ◽  
Impulsive Synchronization ◽  
Theoretical Results

The problem on chaos synchronization for a class of chaotic system is addressed. Based on impulsive control theory and by constructing a novel Lyapunov functional, new impulsive synchronization strategies are presented and possess more practical application value. Finally some typical numerical simulation examples are included to demonstrate the effectiveness of the theoretical results.

scholarly journals Robust Consensus for Nonlinear Multiagent Systems with Uncertainty and Disturbance

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Zhiqiang Li ◽  
Chengjie Xu ◽  
Chen Liu ◽  
Haichuan Xu
Keyword(s):  
Numerical Simulation ◽  
Multiagent Systems ◽  
Lyapunov Stability ◽  
Matrix Theory ◽  
Lyapunov Stability Theory ◽  
Consensus Protocol ◽  
Evolution Behavior ◽  
Robust Consensus ◽  
Theoretical Results ◽  
Relative States

This paper investigates robust consensus for nonlinear multiagent systems with uncertainty and disturbance. The consensus evolution behavior is studied under general consensus protocol when each node is disturbed by the relative states between the node and its neighbors. At first, the robust consensus condition is obtained and the convergency analysis is given by using Lyapunov stability theory and matrix theory. Then, the practical consensus is investigated and the bound of the error states is presented. Finally, two numerical simulation examples are given to illustrate the proposed theoretical results.

scholarly journals Distributed Tracking Control for Discrete-Time Multiagent Systems with Novel Markovian Switching Topologies

2017 ◽  
Vol 2017 ◽  
pp. 1-10
Author(s):  
Hongbin Wang ◽  
Zhen Zhou ◽  
Zhongquan Hu
Keyword(s):  
Multiagent Systems ◽  
Discrete Time ◽  
Tracking Control ◽  
Sampling Period ◽  
Consensus Algorithm ◽  
Switching Topology ◽  
Tracking Errors ◽  
Control Gain ◽  
Leader Following ◽  
Coordinated Tracking

Distributed discrete-time coordinated tracking control problem is investigated for multiagent systems in the ideal case, where agents with a fixed graph combine with a leader-following group, aiming to expand the function of the traditional one in some scenes. The modified union switching topology is derived from a set of Markov chains to the edges by introducing a novel mapping. The issue on how to guarantee all the agents tracking the leader is solved through a PD-like consensus algorithm. The available sampling period and the feasible control gain are calculated in terms of the trigonometric function theory, and the mean-square bound of tracking errors is provided finally. Simulation example is presented to demonstrate the validity of the theoretical results.

scholarly journals Bifurcation Analysis and Impulsive Control of Genetic Regulatory Networks with Multi Delays

2019 ◽  
Vol 23 (4) ◽  
pp. 743-748 ◽  
Author(s):  
Feng Liu ◽  
Jie Ren ◽  
Ting Dong ◽  
Shiqi Zheng ◽  
◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Hopf Bifurcation ◽  
Regulatory Network ◽  
Regulatory Networks ◽  
Control Method ◽  
Impulsive Control ◽  
Genetic Regulatory Networks ◽  
Genetic Regulatory Network ◽  
The Stability ◽  
Theoretical Results

In this study, the stability and Hopf bifurcation of a genetic regulatory network with delays are addressed. Some bifurcations may cause network oscillation and induce instability. An impulsive control method is proposed to control the bifurcations. A numerical simulation was performed to demonstrate the effectiveness of the theoretical results.

scholarly journals Tracking control of an underactuated rigid body with a coupling input force

2014 ◽  
Vol 24 (3) ◽  
pp. 321-332 ◽  
Author(s):  
Sebastian Korczak
Keyword(s):  
Numerical Simulation ◽  
Rigid Body ◽  
Tracking Control ◽  
Tracking Problem ◽  
State Variables ◽  
Input Force ◽  
System A ◽  
Coupling Force ◽  
Lie Brackets ◽  
Computed Torque

Abstract This paper presents a set of basic problems concerning the control of an underactuated dynamic system. Exemplary system of a planar rigid body with a coupling input force is described. Lie brackets method is used to show accessibility of the system. A tracking problem is solved with computed torque algorithm. The coupling force makes the convergence to zero of all state variables errors impossible. After numerical simulation, stability of the system is mentioned

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