Pinning and adaptive synchronization of fractional-order complex dynamical networks with and without time-varying delay

Li, Biwen; Wang, Nengjie; Ruan, Xiaoli; Pan, Qiujin

doi:10.1186/s13662-017-1454-1

Cited by 13 publications

(3 citation statements)

References 36 publications

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“…After that, based on the fixed model and self control system of the model set consisting of the correction model proves the stability and convergence of the control system based on the virtual equivalent system theory when the parameters of the controlled object are unknown linear time constant and parameter jump, and the literature weights are relaxed. In the stability analysis of the model adaptive control system, the model set is only the constraint of the fixed model, and the theoretical application range of the guaranteed weighted multi-model adaptive control system is expanded [5] .…”

Section: Status Of Model-free Adaptive Controlmentioning

confidence: 99%

The Status Quo and Prospect of Model-free Adaptive Control

2018

2018 7th International Conference on Advanced Materials and Computer Science (ICAMCS 2018)

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In order to solve the problem that the general control engineering course lags behind the information age and the actual needs of engineering, this paper explores new ways and new methods of the closed-loop control experiment of brushless DC motor speed. This paper will discuss the model-free adaptive control method and STM32 single-chip microcomputer. Brushed DC motor speed closed-loop adaptive control method aims to expand students' knowledge, strengthen the cognition of hotspot control methods, connect theory with practice, and stimulate students' innovative thinking on the application of control methods.

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Section: Status Of Model-free Adaptive Controlmentioning

confidence: 99%

The Status Quo and Prospect of Model-free Adaptive Control

2018

2018 7th International Conference on Advanced Materials and Computer Science (ICAMCS 2018)

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“…The synchronization research of complex networks with time-varying delay coupling is more realistic and representative. Reference [40] investigated the synchronization problem for a class of fractional-order complex dynamical networks with and without time-varying delay. Reference [41] investigated adaptive pinning synchronization in fractional-order uncertain complex dynamical networks with delay.…”

Section: Introductionmentioning

confidence: 99%

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Fang¹,

Wei²,

Yin³

et al. 2022

Commun. Theor. Phys.

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In this paper, the problem of combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and external interferences is studied. Firstly, the definition of combination projection synchronization of fractional-order complex dynamic networks is given, and the synchronization problem of the drive-response systems is transformed into the stability problem of the error system. In addition, time-varying delays and disturbances are taken into consideration to make the network synchronization more practical and universal. Then, based on Lyapunov stability theory and fractional inequality theory, the adaptive controller is formulated to make the drive and response systems synchronization by the scaling factors. The controller is easier to realize because there is no time-delay term in the controller. At last, the corresponding simulation examples demonstrate the effectiveness of the proposed scheme.

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“…By considering the high potential of CDNs, therefore, it is natural that the research on CDNs has become a large research area, and many researchers have discovered the nature of CDNs [1][2][3]. The synchronization is one of the popular applications of CDNs, which makes all states of each node in a CDN follow the same trajectories, and it has been widely studied [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. To solve the synchronization problem for CDNs, various control schemes, such as feedback control [4][5][6], adaptive control [7,8], sliding-mode control [9,10], dynamic control [11,12], event-triggered control [13], impulsive control [14,15], H ∞ control [16], and pinning control [17][18][19][20], have been employed.…”

Section: Introductionmentioning

confidence: 99%

Design of sampled-data controllers for the synchronization of complex dynamical networks under controller attacks

Lee

Park

2019

Adv Differ Equ

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This paper addresses the design problem of sampled-data controllers for the synchronization of complex dynamical networks under controller attack. Some discontinuous Lyapunov functionals and zero equation are employed to deal with a sampled-data pattern. Due to the limited access of networks to hackers, cyber-attacks on the controller are considered randomly occurring and are described as an attack function which is nonlinear but assumed to be certain known conditions. The designing conditions for sampled-data controllers against cyber-attack are developed in terms of linear matrix inequality (LMI) by using Lyapunov theory and some novel inequalities. Finally, a numerical example is given to prove the usefulness of the proposed method.

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Pinning and adaptive synchronization of fractional-order complex dynamical networks with and without time-varying delay

Cited by 13 publications

References 36 publications

The Status Quo and Prospect of Model-free Adaptive Control

The Status Quo and Prospect of Model-free Adaptive Control

Combination projection synchronization of fractional-order complex dynamic networks with time-varying delay couplings and disturbances

Design of sampled-data controllers for the synchronization of complex dynamical networks under controller attacks

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