Cluster synchronization of nonlinearly coupled Lur’e networks: Delayed impulsive adaptive control protocols

2021 ◽  
Vol 152 ◽  
pp. 111337
Author(s):  
Deli Xuan ◽  
Ze Tang ◽  
Jianwen Feng ◽  
Ju H. Park
Keyword(s):  
Adaptive Control ◽  
Cluster Synchronization ◽  
Control Protocols

Cluster Synchronization of Nonlinearly Coupled Lur’e DNs: Impulsive Adaptive Control

2021 ◽  
pp. 139-160
Author(s):  
Ze Tang ◽  
Dong Ding ◽  
Yan Wang ◽  
Zhicheng Ji ◽  
Ju H. Park
Keyword(s):  
Adaptive Control ◽  
Cluster Synchronization

scholarly journals Group multiple lags consensus of fractional-order nonlinear leader-following multi-agent systems via adaptive control

2018 ◽  
Vol 41 (5) ◽  
pp. 1313-1322 ◽  
Author(s):  
Yunlong Zhang ◽  
Guoguang Wen ◽  
Zhaoxia Peng ◽  
Yongguang Yu ◽  
Ahmed Rahmani
Keyword(s):  
Adaptive Control ◽  
Fractional Order ◽  
Sufficient Conditions ◽  
Multi Agent Systems ◽  
Group Leaders ◽  
Agent Systems ◽  
Leader Following ◽  
Multi Agent ◽  
Control Protocols ◽  
Multiple Lags

In this paper, group multiple lags consensus of fractional-order leader-following multi-agent systems with nonlinear dynamics are investigated, in which two kinds of lag consensus are considered. One is said to be outergroup lag consensus, which means that different group leaders reach lag consensus. The other one is called innergroup lag consensus, that is to say, the followers will reach lag consensus with their own group leader. Based on Mittag–Leffler stability for fractional-order systems, algebraic graph theory, a class of novel control protocols is designed and the corresponding sufficient conditions are derived to guarantee the achievement of group multiple lags consensus. Furthermore, considering parametric uncertainties, an adaptive control technology is employed to solve the group multiple lags consensus for fractional order multi-agent systems, and the corresponding adaptive control protocols and sufficient conditions are proposed. Finally, numerical simulations are given to demonstrate the effectiveness of the obtained results.

scholarly journals Decentralized Adaptive Control for Quasi-Consensus in Heterogeneous Nonlinear Multiagent Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Jiaju An ◽  
Wei Yang ◽  
Xiaohui Xu ◽  
Tianxiang Chen ◽  
Bin Du ◽  
...  
Keyword(s):  
Nonlinear Dynamics ◽  
Adaptive Control ◽  
Multiagent Systems ◽  
Controller Design ◽  
Adaptive Controller ◽  
Consensus Problem ◽  
Theoretical Derivation ◽  
Numerical Tests ◽  
Control Protocols ◽  
New Inequalities

This paper proposes some novel decentralized adaptive control protocols to settle the quasi-consensus problem of multiagent systems with heterogeneous nonlinear dynamics. Based on local communication with the leader and between the followers, some innovative control protocols are put forward to adapt the control gains and coupling weights simultaneously and to steer the consensus errors to some bounded areas. In particular, two new inequalities are proposed to establish the Lyapunov-based adaptive controller design approach for quasi-consensus. Some quasi-consensus criteria are derived by utilizing the designed controllers, in which the error bound can be modulated on the basis of the adaptive controller parameters. Numerical tests are conducted to show the feasibility of the theoretical derivation. Our findings highlight quasi-consensus in heterogeneous multiagent systems without adding some additional complex nonlinear control terms to cancel the dynamical differences between agents.

Cluster synchronization in fractional-order network with nondelay and delay coupling

2021 ◽  
pp. 2250006
Author(s):  
Yi Wang ◽  
Zhaoyan Wu
Keyword(s):  
Adaptive Control ◽  
Fractional Order ◽  
Cluster Synchronization ◽  
Sufficient Condition ◽  
Fractional Order Systems ◽  
Adaptive Controllers ◽  
Control Scheme ◽  
Control Schemes ◽  
The Stability ◽  
Adaptive Control Scheme

In this paper, cluster synchronization for fractional-order complex network with nondelay and delay coupling is investigated. Based on the stability theory of fractional-order systems and the properties of fractional derivative, both static and adaptive control schemes are adopted to design effective controllers. Sufficient condition for achieving cluster synchronization about static controllers is provided. From the condition, the needed feedback gains can be estimated by simple calculations. Further, adaptive control scheme is introduced to design unified controllers. Noticeably, in the adaptive controllers, the feedback gains need not be calculated in advance and can adjust themselves to the needed values according to updating laws. Finally, numerical simulations are given to demonstrate the correctness of the obtained results.

scholarly journals Adaptive Synchronization in Complex Network with Different Order Node Dynamics

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Fan-di Zhang ◽  
Jin-ping Jia ◽  
Li-xin Yang
Keyword(s):  
Adaptive Control ◽  
Complex Networks ◽  
Complex Network ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Lyapunov Stability Theory ◽  
Cluster Synchronization ◽  
Control Technique ◽  
Adaptive Synchronization ◽  
Different Order

This paper investigates the adaptive cluster synchronization in the complex networks with different orders. By means of Lyapunov stability theory and the adaptive control technique, a novel adaptive synchronization controller is developed. To demonstrate the validity of the proposed method, the examples for the synchronization of systems with the chaotic and hyperchaotic node dynamics are presented.

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