scholarly journals A Unified Mean Square Consensus Criterion for Stochastic Multi-Agent Systems With ROUs and RONs Under Impulse Time Windows

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 227999-228008
Author(s):  
Zhenhua Zhang ◽  
Shiguo Peng ◽  
Tao Chen
Keyword(s):  
Time Windows ◽  
Mean Square ◽  
Multi Agent Systems ◽  
Consensus Criterion ◽  
Agent Systems ◽  
Impulse Time Windows ◽  
Multi Agent ◽  
Mean Square Consensus

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.

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