scholarly journals Cluster-Delay Mean Square Consensus of Stochastic Multi-Agent Systems with Impulse Time Windows

Entropy ◽  
2021 ◽  
Vol 23 (8) ◽  
pp. 1033
Author(s):  
Huan Luo ◽  
Yinhe Wang ◽  
Ruidian Zhan ◽  
Xuexi Zhang ◽  
Haoxiang Wen ◽  
...  
Keyword(s):  
Impulsive Control ◽  
Time Window ◽  
Time Windows ◽  
Discrete Control ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Impulse Time Windows ◽  
Multi Agent ◽  
Mean Square Consensus

This paper investigates the cluster-delay mean square consensus problem of a class of first-order nonlinear stochastic multi-agent systems with impulse time windows. Specifically, on the one hand, we have applied a discrete control mechanism (i.e., impulsive control) into the system instead of a continuous one, which has the advantages of low control cost, high convergence speed; on the other hand, we considered the existence of impulse time windows when modeling the system, that is, a single impulse appears randomly within a time window rather than an ideal fixed position. In addition, this paper also considers the influence of stochastic disturbances caused by fluctuations in the external environment. Then, based on algebraic graph theory and Lyapunov stability theory, some sufficiency conditions that the system must meet to reach the consensus state are given. Finally, we designed a simulation example to verify the feasibility of the obtained results.

Multi-Agent Consensus Control under Markovian Switching Topology and Time-Delay

2013 ◽  
Vol 427-429 ◽  
pp. 750-754
Author(s):  
Won Il Kim ◽  
Rong Xiong ◽  
Jun Wu
Keyword(s):  
Time Delay ◽  
Controller Design ◽  
Switching Topology ◽  
Linear Matrix ◽  
Time Varying ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Multi Agent ◽  
Mean Square Consensus

In this note, the consensus problem of linear multi-agent systems with Markovian communication topology and time-varying delay is investigated. The topology of network is switched by Markovian process and the time-delay is considered to be time-varying and has a lower and upper bounds. A sufficient condition of mean square consensus is obtained in terms of linear matrix inequalities, and based on the condition, a controller design method is presented such that the multi-agent systems reaches to mean square consensus.

scholarly journals Mean Square Consensus of Nonlinear Multi-Agent Systems under Markovian Impulsive Attacks

2021 ◽  
Vol 11 (9) ◽  
pp. 3926
Author(s):  
Huan Luo ◽  
Yinhe Wang ◽  
Xuexi Zhang ◽  
Peitao Gao ◽  
Haoxiang Wen
Keyword(s):  
Sufficient Conditions ◽  
System Stability ◽  
Consensus Problem ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
Special Cases ◽  
Different Types ◽  
Multi Agent ◽  
Mean Square Consensus

This paper focuses primarily on the mean square consensus problem of a class of nonlinear multi-agent systems suffering from stochastic impulsive deception attacks. The attacks here are modeled by completely stochastic destabilizing impulses, where their gains and instants satisfy all distributions and the Markovian process. Compared with existing methods, which assume that only gains are stochastic, it is difficult to deal with systems with different types of random variables. Thus, estimating the influence of these different types on the consensus problem is a key point of this paper. Based on the properties of stochastic processes, some sufficient conditions to solve the consensus problem are derived and some special cases are considered. Finally, a numerical example is given to illustrate the main results. Our results show that the consensus can be obtained if impulsive attacks do not occur too frequently, and it can promote system stability if the gains are below the defined threshold.

scholarly journals Finite-Time Consensus of Nonlinear Multi-Agent Systems via Impulsive Time Window Theory: A Two-Stage Control Strategy

2021 ◽  
Author(s):  
Teng Long ◽  
SS Yang ◽  
Qianzhu Wang ◽  
Lianghao Ji ◽  
Xiaofeng Liao
Keyword(s):  
Finite Time ◽  
Impulsive Control ◽  
Time Window ◽  
Control Period ◽  
Switching Topology ◽  
Multi Agent Systems ◽  
Two Stage ◽  
Agent Systems ◽  
Control Stage ◽  
Multi Agent

Abstract This paper concentrates on the problem of finite-time consensus of nonlinear multi-agent systems (MASs) via impulsive time window theory: a two-stage control (TSC) strategy. The TSC divide the whole control period into two parts, separately variable impulsive control stage and finite-time consensus control stage. Different from the general single-stage control, TSC can adjust the time period of impulsive control and finite-time control dynamically according to the practical application requirements. The variable impulsive control is also discussed in this paper. Comparing with the traditional fixed impulsive theory, the impulsive sampling time occurs randomly within the impulsive time window, providing much more flexibility to the system. In addition, the switching topology scheme is introduced in this paper to strengthen the stability of the MASs. Finally, two numerical simulation examples on the leaderless case and leader-following case are given to demonstrate the theoretical analysis.

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